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Finding the Fourth Proportional to 16,561,409.80, 24,827,340.30 and 6,461,681.80

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Solution

The fourth proportional to 16,561,409.80, 24,827,340.30 and 6,461,681.80 is: 9,686,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561,409.80 : 24,827,340.30 = 6,461,681.80 : x
  2. Step 2: Convert to fraction form
    16,561,409.80/24,827,340.30 = 6,461,681.80/x
  3. Step 3: Cross multiply
    16,561,409.80x = 24,827,340.30 × 6,461,681.80
  4. Step 4: Simplify right side
    16,561,409.80x = 160,426,372,958,916.53
  5. Step 5: Solve for x
    x = 160,426,372,958,916.53/16,561,409.80
  6. Step 6: Final answer
    x = 9,686,758.25

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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.