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Finding the Fourth Proportional to 18,101.62, 27,152.82 and 10,294

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Solution

The fourth proportional to 18,101.62, 27,152.82 and 10,294 is: 15,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101.62 : 27,152.82 = 10,294 : x
  2. Step 2: Convert to fraction form
    18,101.62/27,152.82 = 10,294/x
  3. Step 3: Cross multiply
    18,101.62x = 27,152.82 × 10,294
  4. Step 4: Simplify right side
    18,101.62x = 279,511,129.08
  5. Step 5: Solve for x
    x = 279,511,129.08/18,101.62
  6. Step 6: Final answer
    x = 15,441.22

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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.