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Finding the Fourth Proportional to 24,346.20, 36,522.96 and 10,306.20

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Solution

The fourth proportional to 24,346.20, 36,522.96 and 10,306.20 is: 15,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.20 : 36,522.96 = 10,306.20 : x
  2. Step 2: Convert to fraction form
    24,346.20/36,522.96 = 10,306.20/x
  3. Step 3: Cross multiply
    24,346.20x = 36,522.96 × 10,306.20
  4. Step 4: Simplify right side
    24,346.20x = 376,412,930.35
  5. Step 5: Solve for x
    x = 376,412,930.35/24,346.20
  6. Step 6: Final answer
    x = 15,460.85

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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.