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Finding the Fourth Proportional to 24,857.40, 37,291.94 and 8,217.43

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Solution

The fourth proportional to 24,857.40, 37,291.94 and 8,217.43 is: 12,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.40 : 37,291.94 = 8,217.43 : x
  2. Step 2: Convert to fraction form
    24,857.40/37,291.94 = 8,217.43/x
  3. Step 3: Cross multiply
    24,857.40x = 37,291.94 × 8,217.43
  4. Step 4: Simplify right side
    24,857.40x = 306,443,865.43
  5. Step 5: Solve for x
    x = 306,443,865.43/24,857.40
  6. Step 6: Final answer
    x = 12,328.07

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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.