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Finding the Fourth Proportional to 13,545.64, 20,280.48 and 11,031.76

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Solution

The fourth proportional to 13,545.64, 20,280.48 and 11,031.76 is: 16,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.64 : 20,280.48 = 11,031.76 : x
  2. Step 2: Convert to fraction form
    13,545.64/20,280.48 = 11,031.76/x
  3. Step 3: Cross multiply
    13,545.64x = 20,280.48 × 11,031.76
  4. Step 4: Simplify right side
    13,545.64x = 223,729,388.04
  5. Step 5: Solve for x
    x = 223,729,388.04/13,545.64
  6. Step 6: Final answer
    x = 16,516.71

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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.