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Finding the Fourth Proportional to 23,172.48, 31,978.17 and 12,562.20

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Solution

The fourth proportional to 23,172.48, 31,978.17 and 12,562.20 is: 17,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.48 : 31,978.17 = 12,562.20 : x
  2. Step 2: Convert to fraction form
    23,172.48/31,978.17 = 12,562.20/x
  3. Step 3: Cross multiply
    23,172.48x = 31,978.17 × 12,562.20
  4. Step 4: Simplify right side
    23,172.48x = 401,716,167.17
  5. Step 5: Solve for x
    x = 401,716,167.17/23,172.48
  6. Step 6: Final answer
    x = 17,335.92

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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.