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Finding the Fourth Proportional to 18,589.26, 27,862.29 and 6,895.02

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Solution

The fourth proportional to 18,589.26, 27,862.29 and 6,895.02 is: 10,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.26 : 27,862.29 = 6,895.02 : x
  2. Step 2: Convert to fraction form
    18,589.26/27,862.29 = 6,895.02/x
  3. Step 3: Cross multiply
    18,589.26x = 27,862.29 × 6,895.02
  4. Step 4: Simplify right side
    18,589.26x = 192,111,046.80
  5. Step 5: Solve for x
    x = 192,111,046.80/18,589.26
  6. Step 6: Final answer
    x = 10,334.52

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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.