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Finding the Fourth Proportional to 15,644.18, 23,469.92 and 5,114.69

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Solution

The fourth proportional to 15,644.18, 23,469.92 and 5,114.69 is: 7,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.18 : 23,469.92 = 5,114.69 : x
  2. Step 2: Convert to fraction form
    15,644.18/23,469.92 = 5,114.69/x
  3. Step 3: Cross multiply
    15,644.18x = 23,469.92 × 5,114.69
  4. Step 4: Simplify right side
    15,644.18x = 120,041,329.39
  5. Step 5: Solve for x
    x = 120,041,329.39/15,644.18
  6. Step 6: Final answer
    x = 7,673.22

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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.