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Finding the Fourth Proportional to 10,333.81, 15,500.61 and 2,542.62

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Solution

The fourth proportional to 10,333.81, 15,500.61 and 2,542.62 is: 3,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.81 : 15,500.61 = 2,542.62 : x
  2. Step 2: Convert to fraction form
    10,333.81/15,500.61 = 2,542.62/x
  3. Step 3: Cross multiply
    10,333.81x = 15,500.61 × 2,542.62
  4. Step 4: Simplify right side
    10,333.81x = 39,412,148.29
  5. Step 5: Solve for x
    x = 39,412,148.29/10,333.81
  6. Step 6: Final answer
    x = 3,813.90

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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.