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Finding the Fourth Proportional to 18,454.98, 27,686.86 and 5,975

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Solution

The fourth proportional to 18,454.98, 27,686.86 and 5,975 is: 8,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,454.98 : 27,686.86 = 5,975 : x
  2. Step 2: Convert to fraction form
    18,454.98/27,686.86 = 5,975/x
  3. Step 3: Cross multiply
    18,454.98x = 27,686.86 × 5,975
  4. Step 4: Simplify right side
    18,454.98x = 165,428,988.50
  5. Step 5: Solve for x
    x = 165,428,988.50/18,454.98
  6. Step 6: Final answer
    x = 8,963.92

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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.