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Finding the Fourth Proportional to 16,101.97, 24,155.16 and 5,569.17

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Solution

The fourth proportional to 16,101.97, 24,155.16 and 5,569.17 is: 8,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.97 : 24,155.16 = 5,569.17 : x
  2. Step 2: Convert to fraction form
    16,101.97/24,155.16 = 5,569.17/x
  3. Step 3: Cross multiply
    16,101.97x = 24,155.16 × 5,569.17
  4. Step 4: Simplify right side
    16,101.97x = 134,524,161.96
  5. Step 5: Solve for x
    x = 134,524,161.96/16,101.97
  6. Step 6: Final answer
    x = 8,354.51

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