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Finding the Fourth Proportional to 23,402.34, 32,295.24 and 12,792

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Solution

The fourth proportional to 23,402.34, 32,295.24 and 12,792 is: 17,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.34 : 32,295.24 = 12,792 : x
  2. Step 2: Convert to fraction form
    23,402.34/32,295.24 = 12,792/x
  3. Step 3: Cross multiply
    23,402.34x = 32,295.24 × 12,792
  4. Step 4: Simplify right side
    23,402.34x = 413,120,710.08
  5. Step 5: Solve for x
    x = 413,120,710.08/23,402.34
  6. Step 6: Final answer
    x = 17,652.97

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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.