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Finding the Fourth Proportional to 17,254.69, 25,882 and 5,409.38

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Solution

The fourth proportional to 17,254.69, 25,882 and 5,409.38 is: 8,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.69 : 25,882 = 5,409.38 : x
  2. Step 2: Convert to fraction form
    17,254.69/25,882 = 5,409.38/x
  3. Step 3: Cross multiply
    17,254.69x = 25,882 × 5,409.38
  4. Step 4: Simplify right side
    17,254.69x = 140,005,573.16
  5. Step 5: Solve for x
    x = 140,005,573.16/17,254.69
  6. Step 6: Final answer
    x = 8,114.06

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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.