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Finding the Fourth Proportional to 17,232.98, 25,833.02 and 5,538

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Solution

The fourth proportional to 17,232.98, 25,833.02 and 5,538 is: 8,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.98 : 25,833.02 = 5,538 : x
  2. Step 2: Convert to fraction form
    17,232.98/25,833.02 = 5,538/x
  3. Step 3: Cross multiply
    17,232.98x = 25,833.02 × 5,538
  4. Step 4: Simplify right side
    17,232.98x = 143,063,264.76
  5. Step 5: Solve for x
    x = 143,063,264.76/17,232.98
  6. Step 6: Final answer
    x = 8,301.71

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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.