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Finding the Fourth Proportional to 24,486.44, 36,732.10 and 7,842.30

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Solution

The fourth proportional to 24,486.44, 36,732.10 and 7,842.30 is: 11,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486.44 : 36,732.10 = 7,842.30 : x
  2. Step 2: Convert to fraction form
    24,486.44/36,732.10 = 7,842.30/x
  3. Step 3: Cross multiply
    24,486.44x = 36,732.10 × 7,842.30
  4. Step 4: Simplify right side
    24,486.44x = 288,064,147.83
  5. Step 5: Solve for x
    x = 288,064,147.83/24,486.44
  6. Step 6: Final answer
    x = 11,764.23

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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.