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Finding the Fourth Proportional to 15,743.88, 23,616.48 and 5,882.16

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Solution

The fourth proportional to 15,743.88, 23,616.48 and 5,882.16 is: 8,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,743.88 : 23,616.48 = 5,882.16 : x
  2. Step 2: Convert to fraction form
    15,743.88/23,616.48 = 5,882.16/x
  3. Step 3: Cross multiply
    15,743.88x = 23,616.48 × 5,882.16
  4. Step 4: Simplify right side
    15,743.88x = 138,915,914.00
  5. Step 5: Solve for x
    x = 138,915,914.00/15,743.88
  6. Step 6: Final answer
    x = 8,823.49

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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.