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Finding the Fourth Proportional to 15,729.56, 23,560.31 and 7,397.09

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Solution

The fourth proportional to 15,729.56, 23,560.31 and 7,397.09 is: 11,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.56 : 23,560.31 = 7,397.09 : x
  2. Step 2: Convert to fraction form
    15,729.56/23,560.31 = 7,397.09/x
  3. Step 3: Cross multiply
    15,729.56x = 23,560.31 × 7,397.09
  4. Step 4: Simplify right side
    15,729.56x = 174,277,733.50
  5. Step 5: Solve for x
    x = 174,277,733.50/15,729.56
  6. Step 6: Final answer
    x = 11,079.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.