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Finding the Fourth Proportional to 24,225.31, 36,329.64 and 8,426.17

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Solution

The fourth proportional to 24,225.31, 36,329.64 and 8,426.17 is: 12,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225.31 : 36,329.64 = 8,426.17 : x
  2. Step 2: Convert to fraction form
    24,225.31/36,329.64 = 8,426.17/x
  3. Step 3: Cross multiply
    24,225.31x = 36,329.64 × 8,426.17
  4. Step 4: Simplify right side
    24,225.31x = 306,119,722.68
  5. Step 5: Solve for x
    x = 306,119,722.68/24,225.31
  6. Step 6: Final answer
    x = 12,636.36

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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.