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Finding the Fourth Proportional to 16,242.49, 24,363.74 and 3,930.49

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Solution

The fourth proportional to 16,242.49, 24,363.74 and 3,930.49 is: 5,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.49 : 24,363.74 = 3,930.49 : x
  2. Step 2: Convert to fraction form
    16,242.49/24,363.74 = 3,930.49/x
  3. Step 3: Cross multiply
    16,242.49x = 24,363.74 × 3,930.49
  4. Step 4: Simplify right side
    16,242.49x = 95,761,461.97
  5. Step 5: Solve for x
    x = 95,761,461.97/16,242.49
  6. Step 6: Final answer
    x = 5,895.74

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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.