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Finding the Fourth Proportional to 13,614.54, 20,416.56 and 5,293.46

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Solution

The fourth proportional to 13,614.54, 20,416.56 and 5,293.46 is: 7,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.54 : 20,416.56 = 5,293.46 : x
  2. Step 2: Convert to fraction form
    13,614.54/20,416.56 = 5,293.46/x
  3. Step 3: Cross multiply
    13,614.54x = 20,416.56 × 5,293.46
  4. Step 4: Simplify right side
    13,614.54x = 108,074,141.61
  5. Step 5: Solve for x
    x = 108,074,141.61/13,614.54
  6. Step 6: Final answer
    x = 7,938.14

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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.