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Finding the Fourth Proportional to 24,454.60, 33,744.72 and 13,842.12

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Solution

The fourth proportional to 24,454.60, 33,744.72 and 13,842.12 is: 19,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.60 : 33,744.72 = 13,842.12 : x
  2. Step 2: Convert to fraction form
    24,454.60/33,744.72 = 13,842.12/x
  3. Step 3: Cross multiply
    24,454.60x = 33,744.72 × 13,842.12
  4. Step 4: Simplify right side
    24,454.60x = 467,098,463.61
  5. Step 5: Solve for x
    x = 467,098,463.61/24,454.60
  6. Step 6: Final answer
    x = 19,100.64

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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.