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Finding the Fourth Proportional to 15,729.27, 23,576.01 and 8,221.24

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Solution

The fourth proportional to 15,729.27, 23,576.01 and 8,221.24 is: 12,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.27 : 23,576.01 = 8,221.24 : x
  2. Step 2: Convert to fraction form
    15,729.27/23,576.01 = 8,221.24/x
  3. Step 3: Cross multiply
    15,729.27x = 23,576.01 × 8,221.24
  4. Step 4: Simplify right side
    15,729.27x = 193,824,036.45
  5. Step 5: Solve for x
    x = 193,824,036.45/15,729.27
  6. Step 6: Final answer
    x = 12,322.51

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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.