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Finding the Fourth Proportional to 25,388.12, 35,031.44 and 15,950

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Solution

The fourth proportional to 25,388.12, 35,031.44 and 15,950 is: 22,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,388.12 : 35,031.44 = 15,950 : x
  2. Step 2: Convert to fraction form
    25,388.12/35,031.44 = 15,950/x
  3. Step 3: Cross multiply
    25,388.12x = 35,031.44 × 15,950
  4. Step 4: Simplify right side
    25,388.12x = 558,751,468
  5. Step 5: Solve for x
    x = 558,751,468/25,388.12
  6. Step 6: Final answer
    x = 22,008.38

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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.