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Finding the Fourth Proportional to 13,614.38, 20,423.93 and 6,219.57

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Solution

The fourth proportional to 13,614.38, 20,423.93 and 6,219.57 is: 9,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.38 : 20,423.93 = 6,219.57 : x
  2. Step 2: Convert to fraction form
    13,614.38/20,423.93 = 6,219.57/x
  3. Step 3: Cross multiply
    13,614.38x = 20,423.93 × 6,219.57
  4. Step 4: Simplify right side
    13,614.38x = 127,028,031.21
  5. Step 5: Solve for x
    x = 127,028,031.21/13,614.38
  6. Step 6: Final answer
    x = 9,330.43

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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.