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Finding the Fourth Proportional to 13,532.64, 20,298.96 and 7,609.92

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Solution

The fourth proportional to 13,532.64, 20,298.96 and 7,609.92 is: 11,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.64 : 20,298.96 = 7,609.92 : x
  2. Step 2: Convert to fraction form
    13,532.64/20,298.96 = 7,609.92/x
  3. Step 3: Cross multiply
    13,532.64x = 20,298.96 × 7,609.92
  4. Step 4: Simplify right side
    13,532.64x = 154,473,461.68
  5. Step 5: Solve for x
    x = 154,473,461.68/13,532.64
  6. Step 6: Final answer
    x = 11,414.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.