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Finding the Fourth Proportional to 13,614.94, 20,423.09 and 3,754

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Solution

The fourth proportional to 13,614.94, 20,423.09 and 3,754 is: 5,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.94 : 20,423.09 = 3,754 : x
  2. Step 2: Convert to fraction form
    13,614.94/20,423.09 = 3,754/x
  3. Step 3: Cross multiply
    13,614.94x = 20,423.09 × 3,754
  4. Step 4: Simplify right side
    13,614.94x = 76,668,279.86
  5. Step 5: Solve for x
    x = 76,668,279.86/13,614.94
  6. Step 6: Final answer
    x = 5,631.19

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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.