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Finding the Fourth Proportional to 15,642.48, 23,449.14 and 7,842.18

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Solution

The fourth proportional to 15,642.48, 23,449.14 and 7,842.18 is: 11,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.48 : 23,449.14 = 7,842.18 : x
  2. Step 2: Convert to fraction form
    15,642.48/23,449.14 = 7,842.18/x
  3. Step 3: Cross multiply
    15,642.48x = 23,449.14 × 7,842.18
  4. Step 4: Simplify right side
    15,642.48x = 183,892,376.73
  5. Step 5: Solve for x
    x = 183,892,376.73/15,642.48
  6. Step 6: Final answer
    x = 11,755.96

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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.