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Finding the Fourth Proportional to 18,092, 27,138.52 and 5,780

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Solution

The fourth proportional to 18,092, 27,138.52 and 5,780 is: 8,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,092 : 27,138.52 = 5,780 : x
  2. Step 2: Convert to fraction form
    18,092/27,138.52 = 5,780/x
  3. Step 3: Cross multiply
    18,092x = 27,138.52 × 5,780
  4. Step 4: Simplify right side
    18,092x = 156,860,645.60
  5. Step 5: Solve for x
    x = 156,860,645.60/18,092
  6. Step 6: Final answer
    x = 8,670.17

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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.