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Finding the Fourth Proportional to 17,002, 25,514.52 and 10,253.20

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Solution

The fourth proportional to 17,002, 25,514.52 and 10,253.20 is: 15,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002 : 25,514.52 = 10,253.20 : x
  2. Step 2: Convert to fraction form
    17,002/25,514.52 = 10,253.20/x
  3. Step 3: Cross multiply
    17,002x = 25,514.52 × 10,253.20
  4. Step 4: Simplify right side
    17,002x = 261,605,476.46
  5. Step 5: Solve for x
    x = 261,605,476.46/17,002
  6. Step 6: Final answer
    x = 15,386.75

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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.