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Finding the Fourth Proportional to 15,832.68, 23,751.45 and 5,442

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Solution

The fourth proportional to 15,832.68, 23,751.45 and 5,442 is: 8,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.68 : 23,751.45 = 5,442 : x
  2. Step 2: Convert to fraction form
    15,832.68/23,751.45 = 5,442/x
  3. Step 3: Cross multiply
    15,832.68x = 23,751.45 × 5,442
  4. Step 4: Simplify right side
    15,832.68x = 129,255,390.90
  5. Step 5: Solve for x
    x = 129,255,390.90/15,832.68
  6. Step 6: Final answer
    x = 8,163.84

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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.