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Finding the Fourth Proportional to 25,115.34, 37,679.96 and 20,423.76

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Solution

The fourth proportional to 25,115.34, 37,679.96 and 20,423.76 is: 30,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,115.34 : 37,679.96 = 20,423.76 : x
  2. Step 2: Convert to fraction form
    25,115.34/37,679.96 = 20,423.76/x
  3. Step 3: Cross multiply
    25,115.34x = 37,679.96 × 20,423.76
  4. Step 4: Simplify right side
    25,115.34x = 769,566,459.85
  5. Step 5: Solve for x
    x = 769,566,459.85/25,115.34
  6. Step 6: Final answer
    x = 30,641.29

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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.