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Finding the Fourth Proportional to 18,577.17, 27,865.17 and 5,251.05

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Solution

The fourth proportional to 18,577.17, 27,865.17 and 5,251.05 is: 7,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.17 : 27,865.17 = 5,251.05 : x
  2. Step 2: Convert to fraction form
    18,577.17/27,865.17 = 5,251.05/x
  3. Step 3: Cross multiply
    18,577.17x = 27,865.17 × 5,251.05
  4. Step 4: Simplify right side
    18,577.17x = 146,321,400.93
  5. Step 5: Solve for x
    x = 146,321,400.93/18,577.17
  6. Step 6: Final answer
    x = 7,876.41

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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.