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Finding the Fourth Proportional to 15,757.72, 23,642.04 and 6,998.78

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Solution

The fourth proportional to 15,757.72, 23,642.04 and 6,998.78 is: 10,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.72 : 23,642.04 = 6,998.78 : x
  2. Step 2: Convert to fraction form
    15,757.72/23,642.04 = 6,998.78/x
  3. Step 3: Cross multiply
    15,757.72x = 23,642.04 × 6,998.78
  4. Step 4: Simplify right side
    15,757.72x = 165,465,436.71
  5. Step 5: Solve for x
    x = 165,465,436.71/15,757.72
  6. Step 6: Final answer
    x = 10,500.60

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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.