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Finding the Fourth Proportional to 24,857.65, 37,292.31 and 8,217.68

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Solution

The fourth proportional to 24,857.65, 37,292.31 and 8,217.68 is: 12,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.65 : 37,292.31 = 8,217.68 : x
  2. Step 2: Convert to fraction form
    24,857.65/37,292.31 = 8,217.68/x
  3. Step 3: Cross multiply
    24,857.65x = 37,292.31 × 8,217.68
  4. Step 4: Simplify right side
    24,857.65x = 306,456,270.04
  5. Step 5: Solve for x
    x = 306,456,270.04/24,857.65
  6. Step 6: Final answer
    x = 12,328.45

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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.