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Finding the Fourth Proportional to 24,451.50, 36,677.25 and 8,869.14

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Solution

The fourth proportional to 24,451.50, 36,677.25 and 8,869.14 is: 13,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.50 : 36,677.25 = 8,869.14 : x
  2. Step 2: Convert to fraction form
    24,451.50/36,677.25 = 8,869.14/x
  3. Step 3: Cross multiply
    24,451.50x = 36,677.25 × 8,869.14
  4. Step 4: Simplify right side
    24,451.50x = 325,295,665.07
  5. Step 5: Solve for x
    x = 325,295,665.07/24,451.50
  6. Step 6: Final answer
    x = 13,303.71

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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.