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Finding the Fourth Proportional to 15,109.40, 22,658.18 and 5,744.46

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Solution

The fourth proportional to 15,109.40, 22,658.18 and 5,744.46 is: 8,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.40 : 22,658.18 = 5,744.46 : x
  2. Step 2: Convert to fraction form
    15,109.40/22,658.18 = 5,744.46/x
  3. Step 3: Cross multiply
    15,109.40x = 22,658.18 × 5,744.46
  4. Step 4: Simplify right side
    15,109.40x = 130,159,008.68
  5. Step 5: Solve for x
    x = 130,159,008.68/15,109.40
  6. Step 6: Final answer
    x = 8,614.44

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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.