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Finding the Fourth Proportional to 13,502.87, 20,129.13 and 13,289.64

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Solution

The fourth proportional to 13,502.87, 20,129.13 and 13,289.64 is: 19,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.87 : 20,129.13 = 13,289.64 : x
  2. Step 2: Convert to fraction form
    13,502.87/20,129.13 = 13,289.64/x
  3. Step 3: Cross multiply
    13,502.87x = 20,129.13 × 13,289.64
  4. Step 4: Simplify right side
    13,502.87x = 267,508,891.21
  5. Step 5: Solve for x
    x = 267,508,891.21/13,502.87
  6. Step 6: Final answer
    x = 19,811.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.