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Finding the Fourth Proportional to 23,472.17, 32,391.71 and 12,862.17

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Solution

The fourth proportional to 23,472.17, 32,391.71 and 12,862.17 is: 17,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.17 : 32,391.71 = 12,862.17 : x
  2. Step 2: Convert to fraction form
    23,472.17/32,391.71 = 12,862.17/x
  3. Step 3: Cross multiply
    23,472.17x = 32,391.71 × 12,862.17
  4. Step 4: Simplify right side
    23,472.17x = 416,627,616.30
  5. Step 5: Solve for x
    x = 416,627,616.30/23,472.17
  6. Step 6: Final answer
    x = 17,749.86

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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.