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Finding the Fourth Proportional to 23,862.78, 32,930.01 and 13,252.14

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Solution

The fourth proportional to 23,862.78, 32,930.01 and 13,252.14 is: 18,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.78 : 32,930.01 = 13,252.14 : x
  2. Step 2: Convert to fraction form
    23,862.78/32,930.01 = 13,252.14/x
  3. Step 3: Cross multiply
    23,862.78x = 32,930.01 × 13,252.14
  4. Step 4: Simplify right side
    23,862.78x = 436,393,102.72
  5. Step 5: Solve for x
    x = 436,393,102.72/23,862.78
  6. Step 6: Final answer
    x = 18,287.61

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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.