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Finding the Fourth Proportional to 15,234.24, 22,833.12 and 7,842.24

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Solution

The fourth proportional to 15,234.24, 22,833.12 and 7,842.24 is: 11,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.24 : 22,833.12 = 7,842.24 : x
  2. Step 2: Convert to fraction form
    15,234.24/22,833.12 = 7,842.24/x
  3. Step 3: Cross multiply
    15,234.24x = 22,833.12 × 7,842.24
  4. Step 4: Simplify right side
    15,234.24x = 179,062,806.99
  5. Step 5: Solve for x
    x = 179,062,806.99/15,234.24
  6. Step 6: Final answer
    x = 11,753.97

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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.