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Finding the Fourth Proportional to 24,649.40, 36,974.10 and 9,073.10

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Solution

The fourth proportional to 24,649.40, 36,974.10 and 9,073.10 is: 13,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.40 : 36,974.10 = 9,073.10 : x
  2. Step 2: Convert to fraction form
    24,649.40/36,974.10 = 9,073.10/x
  3. Step 3: Cross multiply
    24,649.40x = 36,974.10 × 9,073.10
  4. Step 4: Simplify right side
    24,649.40x = 335,469,706.71
  5. Step 5: Solve for x
    x = 335,469,706.71/24,649.40
  6. Step 6: Final answer
    x = 13,609.65

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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.