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Finding the Fourth Proportional to 13,749, 20,614.25 and 6,349.38

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Solution

The fourth proportional to 13,749, 20,614.25 and 6,349.38 is: 9,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749 : 20,614.25 = 6,349.38 : x
  2. Step 2: Convert to fraction form
    13,749/20,614.25 = 6,349.38/x
  3. Step 3: Cross multiply
    13,749x = 20,614.25 × 6,349.38
  4. Step 4: Simplify right side
    13,749x = 130,887,674.92
  5. Step 5: Solve for x
    x = 130,887,674.92/13,749
  6. Step 6: Final answer
    x = 9,519.80

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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.