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Finding the Fourth Proportional to 24,372.24, 36,553.50 and 6,842.24

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Solution

The fourth proportional to 24,372.24, 36,553.50 and 6,842.24 is: 10,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.24 : 36,553.50 = 6,842.24 : x
  2. Step 2: Convert to fraction form
    24,372.24/36,553.50 = 6,842.24/x
  3. Step 3: Cross multiply
    24,372.24x = 36,553.50 × 6,842.24
  4. Step 4: Simplify right side
    24,372.24x = 250,107,819.84
  5. Step 5: Solve for x
    x = 250,107,819.84/24,372.24
  6. Step 6: Final answer
    x = 10,262.00

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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.