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Finding the Fourth Proportional to 15,901.56, 23,829.30 and 8,961.24

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Solution

The fourth proportional to 15,901.56, 23,829.30 and 8,961.24 is: 13,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.56 : 23,829.30 = 8,961.24 : x
  2. Step 2: Convert to fraction form
    15,901.56/23,829.30 = 8,961.24/x
  3. Step 3: Cross multiply
    15,901.56x = 23,829.30 × 8,961.24
  4. Step 4: Simplify right side
    15,901.56x = 213,540,076.33
  5. Step 5: Solve for x
    x = 213,540,076.33/15,901.56
  6. Step 6: Final answer
    x = 13,428.88

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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.