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Finding the Fourth Proportional to 18,642.38, 25,726.47 and 10,684.22

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Solution

The fourth proportional to 18,642.38, 25,726.47 and 10,684.22 is: 14,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.38 : 25,726.47 = 10,684.22 : x
  2. Step 2: Convert to fraction form
    18,642.38/25,726.47 = 10,684.22/x
  3. Step 3: Cross multiply
    18,642.38x = 25,726.47 × 10,684.22
  4. Step 4: Simplify right side
    18,642.38x = 274,867,265.30
  5. Step 5: Solve for x
    x = 274,867,265.30/18,642.38
  6. Step 6: Final answer
    x = 14,744.22

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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.