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Finding the Fourth Proportional to 13,726.88, 20,590.17 and 3,338.64

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Solution

The fourth proportional to 13,726.88, 20,590.17 and 3,338.64 is: 5,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.88 : 20,590.17 = 3,338.64 : x
  2. Step 2: Convert to fraction form
    13,726.88/20,590.17 = 3,338.64/x
  3. Step 3: Cross multiply
    13,726.88x = 20,590.17 × 3,338.64
  4. Step 4: Simplify right side
    13,726.88x = 68,743,165.17
  5. Step 5: Solve for x
    x = 68,743,165.17/13,726.88
  6. Step 6: Final answer
    x = 5,007.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.