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Finding the Fourth Proportional to 22,151.88, 30,567.38 and 12,589.02

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Solution

The fourth proportional to 22,151.88, 30,567.38 and 12,589.02 is: 17,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.88 : 30,567.38 = 12,589.02 : x
  2. Step 2: Convert to fraction form
    22,151.88/30,567.38 = 12,589.02/x
  3. Step 3: Cross multiply
    22,151.88x = 30,567.38 × 12,589.02
  4. Step 4: Simplify right side
    22,151.88x = 384,813,295.22
  5. Step 5: Solve for x
    x = 384,813,295.22/22,151.88
  6. Step 6: Final answer
    x = 17,371.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.