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Finding the Fourth Proportional to 17,581.92, 24,263.31 and 9,624.88

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Solution

The fourth proportional to 17,581.92, 24,263.31 and 9,624.88 is: 13,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.92 : 24,263.31 = 9,624.88 : x
  2. Step 2: Convert to fraction form
    17,581.92/24,263.31 = 9,624.88/x
  3. Step 3: Cross multiply
    17,581.92x = 24,263.31 × 9,624.88
  4. Step 4: Simplify right side
    17,581.92x = 233,531,447.15
  5. Step 5: Solve for x
    x = 233,531,447.15/17,581.92
  6. Step 6: Final answer
    x = 13,282.48

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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.