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Finding the Fourth Proportional to 17,115.16, 25,675.44 and 7,254.48

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Solution

The fourth proportional to 17,115.16, 25,675.44 and 7,254.48 is: 10,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.16 : 25,675.44 = 7,254.48 : x
  2. Step 2: Convert to fraction form
    17,115.16/25,675.44 = 7,254.48/x
  3. Step 3: Cross multiply
    17,115.16x = 25,675.44 × 7,254.48
  4. Step 4: Simplify right side
    17,115.16x = 186,261,965.97
  5. Step 5: Solve for x
    x = 186,261,965.97/17,115.16
  6. Step 6: Final answer
    x = 10,882.86

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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.