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Finding the Fourth Proportional to 13,748.92, 20,614.23 and 7,089.49

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Solution

The fourth proportional to 13,748.92, 20,614.23 and 7,089.49 is: 10,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.92 : 20,614.23 = 7,089.49 : x
  2. Step 2: Convert to fraction form
    13,748.92/20,614.23 = 7,089.49/x
  3. Step 3: Cross multiply
    13,748.92x = 20,614.23 × 7,089.49
  4. Step 4: Simplify right side
    13,748.92x = 146,144,377.44
  5. Step 5: Solve for x
    x = 146,144,377.44/13,748.92
  6. Step 6: Final answer
    x = 10,629.52

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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.