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Finding the Fourth Proportional to 13,614.90, 20,419.16 and 4,125.48

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Solution

The fourth proportional to 13,614.90, 20,419.16 and 4,125.48 is: 6,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.90 : 20,419.16 = 4,125.48 : x
  2. Step 2: Convert to fraction form
    13,614.90/20,419.16 = 4,125.48/x
  3. Step 3: Cross multiply
    13,614.90x = 20,419.16 × 4,125.48
  4. Step 4: Simplify right side
    13,614.90x = 84,238,815.57
  5. Step 5: Solve for x
    x = 84,238,815.57/13,614.90
  6. Step 6: Final answer
    x = 6,187.25

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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.