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Finding the Fourth Proportional to 25,714, 35,514.48 and 17,315.92

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Solution

The fourth proportional to 25,714, 35,514.48 and 17,315.92 is: 23,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714 : 35,514.48 = 17,315.92 : x
  2. Step 2: Convert to fraction form
    25,714/35,514.48 = 17,315.92/x
  3. Step 3: Cross multiply
    25,714x = 35,514.48 × 17,315.92
  4. Step 4: Simplify right side
    25,714x = 614,965,894.52
  5. Step 5: Solve for x
    x = 614,965,894.52/25,714
  6. Step 6: Final answer
    x = 23,915.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.