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Finding the Fourth Proportional to 15,914.12, 23,882.14 and 5,525.88

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Solution

The fourth proportional to 15,914.12, 23,882.14 and 5,525.88 is: 8,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.12 : 23,882.14 = 5,525.88 : x
  2. Step 2: Convert to fraction form
    15,914.12/23,882.14 = 5,525.88/x
  3. Step 3: Cross multiply
    15,914.12x = 23,882.14 × 5,525.88
  4. Step 4: Simplify right side
    15,914.12x = 131,969,839.78
  5. Step 5: Solve for x
    x = 131,969,839.78/15,914.12
  6. Step 6: Final answer
    x = 8,292.63

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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.