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Finding the Fourth Proportional to 13,286.40, 18,349.92 and 9,031.20

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Solution

The fourth proportional to 13,286.40, 18,349.92 and 9,031.20 is: 12,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.40 : 18,349.92 = 9,031.20 : x
  2. Step 2: Convert to fraction form
    13,286.40/18,349.92 = 9,031.20/x
  3. Step 3: Cross multiply
    13,286.40x = 18,349.92 × 9,031.20
  4. Step 4: Simplify right side
    13,286.40x = 165,721,797.50
  5. Step 5: Solve for x
    x = 165,721,797.50/13,286.40
  6. Step 6: Final answer
    x = 12,473.04

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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.