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Finding the Fourth Proportional to 23,414.40, 32,309.28 and 13,982.40

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Solution

The fourth proportional to 23,414.40, 32,309.28 and 13,982.40 is: 19,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.40 : 32,309.28 = 13,982.40 : x
  2. Step 2: Convert to fraction form
    23,414.40/32,309.28 = 13,982.40/x
  3. Step 3: Cross multiply
    23,414.40x = 32,309.28 × 13,982.40
  4. Step 4: Simplify right side
    23,414.40x = 451,761,276.67
  5. Step 5: Solve for x
    x = 451,761,276.67/23,414.40
  6. Step 6: Final answer
    x = 19,294.16

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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.