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Finding the Fourth Proportional to 15,143.78, 20,889.56 and 9,842.13

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Solution

The fourth proportional to 15,143.78, 20,889.56 and 9,842.13 is: 13,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.78 : 20,889.56 = 9,842.13 : x
  2. Step 2: Convert to fraction form
    15,143.78/20,889.56 = 9,842.13/x
  3. Step 3: Cross multiply
    15,143.78x = 20,889.56 × 9,842.13
  4. Step 4: Simplify right side
    15,143.78x = 205,597,765.16
  5. Step 5: Solve for x
    x = 205,597,765.16/15,143.78
  6. Step 6: Final answer
    x = 13,576.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.