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Finding the Fourth Proportional to 18,092.88, 27,077.88 and 10,290

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Solution

The fourth proportional to 18,092.88, 27,077.88 and 10,290 is: 15,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,092.88 : 27,077.88 = 10,290 : x
  2. Step 2: Convert to fraction form
    18,092.88/27,077.88 = 10,290/x
  3. Step 3: Cross multiply
    18,092.88x = 27,077.88 × 10,290
  4. Step 4: Simplify right side
    18,092.88x = 278,631,385.20
  5. Step 5: Solve for x
    x = 278,631,385.20/18,092.88
  6. Step 6: Final answer
    x = 15,400.06

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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.