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Finding the Fourth Proportional to 17,282.24, 25,932 and 6,902.72

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Solution

The fourth proportional to 17,282.24, 25,932 and 6,902.72 is: 10,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.24 : 25,932 = 6,902.72 : x
  2. Step 2: Convert to fraction form
    17,282.24/25,932 = 6,902.72/x
  3. Step 3: Cross multiply
    17,282.24x = 25,932 × 6,902.72
  4. Step 4: Simplify right side
    17,282.24x = 179,001,335.04
  5. Step 5: Solve for x
    x = 179,001,335.04/17,282.24
  6. Step 6: Final answer
    x = 10,357.53

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