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Finding the Fourth Proportional to 22,872.92, 31,547.67 and 16,151.54

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Solution

The fourth proportional to 22,872.92, 31,547.67 and 16,151.54 is: 22,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.92 : 31,547.67 = 16,151.54 : x
  2. Step 2: Convert to fraction form
    22,872.92/31,547.67 = 16,151.54/x
  3. Step 3: Cross multiply
    22,872.92x = 31,547.67 × 16,151.54
  4. Step 4: Simplify right side
    22,872.92x = 509,543,296.17
  5. Step 5: Solve for x
    x = 509,543,296.17/22,872.92
  6. Step 6: Final answer
    x = 22,277.15

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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.