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Finding the Fourth Proportional to 16,692.84, 25,047.77 and 7,927.83

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Solution

The fourth proportional to 16,692.84, 25,047.77 and 7,927.83 is: 11,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692.84 : 25,047.77 = 7,927.83 : x
  2. Step 2: Convert to fraction form
    16,692.84/25,047.77 = 7,927.83/x
  3. Step 3: Cross multiply
    16,692.84x = 25,047.77 × 7,927.83
  4. Step 4: Simplify right side
    16,692.84x = 198,574,422.80
  5. Step 5: Solve for x
    x = 198,574,422.80/16,692.84
  6. Step 6: Final answer
    x = 11,895.78

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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.