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Finding the Fourth Proportional to 16,385.40, 22,593.96 and 11,071

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Solution

The fourth proportional to 16,385.40, 22,593.96 and 11,071 is: 15,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.40 : 22,593.96 = 11,071 : x
  2. Step 2: Convert to fraction form
    16,385.40/22,593.96 = 11,071/x
  3. Step 3: Cross multiply
    16,385.40x = 22,593.96 × 11,071
  4. Step 4: Simplify right side
    16,385.40x = 250,137,731.16
  5. Step 5: Solve for x
    x = 250,137,731.16/16,385.40
  6. Step 6: Final answer
    x = 15,265.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.