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Finding the Fourth Proportional to 24,537.46, 36,805.32 and 7,898.62

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Solution

The fourth proportional to 24,537.46, 36,805.32 and 7,898.62 is: 11,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.46 : 36,805.32 = 7,898.62 : x
  2. Step 2: Convert to fraction form
    24,537.46/36,805.32 = 7,898.62/x
  3. Step 3: Cross multiply
    24,537.46x = 36,805.32 × 7,898.62
  4. Step 4: Simplify right side
    24,537.46x = 290,711,236.66
  5. Step 5: Solve for x
    x = 290,711,236.66/24,537.46
  6. Step 6: Final answer
    x = 11,847.65

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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.