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Finding the Fourth Proportional to 25,627, 38,445.15 and 11,593.64

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Solution

The fourth proportional to 25,627, 38,445.15 and 11,593.64 is: 17,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,627 : 38,445.15 = 11,593.64 : x
  2. Step 2: Convert to fraction form
    25,627/38,445.15 = 11,593.64/x
  3. Step 3: Cross multiply
    25,627x = 38,445.15 × 11,593.64
  4. Step 4: Simplify right side
    25,627x = 445,719,228.85
  5. Step 5: Solve for x
    x = 445,719,228.85/25,627
  6. Step 6: Final answer
    x = 17,392.56

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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.