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Finding the Fourth Proportional to 16,404,410.70, 24,606,616.05 and 7,882,692.30

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Solution

The fourth proportional to 16,404,410.70, 24,606,616.05 and 7,882,692.30 is: 11,824,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404,410.70 : 24,606,616.05 = 7,882,692.30 : x
  2. Step 2: Convert to fraction form
    16,404,410.70/24,606,616.05 = 7,882,692.30/x
  3. Step 3: Cross multiply
    16,404,410.70x = 24,606,616.05 × 7,882,692.30
  4. Step 4: Simplify right side
    16,404,410.70x = 193,966,382,866,391.41
  5. Step 5: Solve for x
    x = 193,966,382,866,391.41/16,404,410.70
  6. Step 6: Final answer
    x = 11,824,038.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.