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Finding the Fourth Proportional to 24,842.38, 37,265.30 and 8,214.11

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Solution

The fourth proportional to 24,842.38, 37,265.30 and 8,214.11 is: 12,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.38 : 37,265.30 = 8,214.11 : x
  2. Step 2: Convert to fraction form
    24,842.38/37,265.30 = 8,214.11/x
  3. Step 3: Cross multiply
    24,842.38x = 37,265.30 × 8,214.11
  4. Step 4: Simplify right side
    24,842.38x = 306,101,232.31
  5. Step 5: Solve for x
    x = 306,101,232.31/24,842.38
  6. Step 6: Final answer
    x = 12,321.74

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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.