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Finding the Fourth Proportional to 15,808.56, 23,731.17 and 9,239.46

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Solution

The fourth proportional to 15,808.56, 23,731.17 and 9,239.46 is: 13,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.56 : 23,731.17 = 9,239.46 : x
  2. Step 2: Convert to fraction form
    15,808.56/23,731.17 = 9,239.46/x
  3. Step 3: Cross multiply
    15,808.56x = 23,731.17 × 9,239.46
  4. Step 4: Simplify right side
    15,808.56x = 219,263,195.97
  5. Step 5: Solve for x
    x = 219,263,195.97/15,808.56
  6. Step 6: Final answer
    x = 13,869.90

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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.