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Finding the Fourth Proportional to 23,472.53, 32,392.10 and 12,862.16

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Solution

The fourth proportional to 23,472.53, 32,392.10 and 12,862.16 is: 17,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.53 : 32,392.10 = 12,862.16 : x
  2. Step 2: Convert to fraction form
    23,472.53/32,392.10 = 12,862.16/x
  3. Step 3: Cross multiply
    23,472.53x = 32,392.10 × 12,862.16
  4. Step 4: Simplify right side
    23,472.53x = 416,632,146.66
  5. Step 5: Solve for x
    x = 416,632,146.66/23,472.53
  6. Step 6: Final answer
    x = 17,749.78

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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.