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Finding the Fourth Proportional to 19,734, 27,232.92 and 10,902

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Solution

The fourth proportional to 19,734, 27,232.92 and 10,902 is: 15,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734 : 27,232.92 = 10,902 : x
  2. Step 2: Convert to fraction form
    19,734/27,232.92 = 10,902/x
  3. Step 3: Cross multiply
    19,734x = 27,232.92 × 10,902
  4. Step 4: Simplify right side
    19,734x = 296,893,293.84
  5. Step 5: Solve for x
    x = 296,893,293.84/19,734
  6. Step 6: Final answer
    x = 15,044.76

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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.