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Finding the Fourth Proportional to 25,863, 35,695.26 and 15,255.24

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Solution

The fourth proportional to 25,863, 35,695.26 and 15,255.24 is: 21,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,863 : 35,695.26 = 15,255.24 : x
  2. Step 2: Convert to fraction form
    25,863/35,695.26 = 15,255.24/x
  3. Step 3: Cross multiply
    25,863x = 35,695.26 × 15,255.24
  4. Step 4: Simplify right side
    25,863x = 544,539,758.16
  5. Step 5: Solve for x
    x = 544,539,758.16/25,863
  6. Step 6: Final answer
    x = 21,054.78

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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.