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Finding the Fourth Proportional to 13,726.79, 20,590.18 and 5,402.28

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Solution

The fourth proportional to 13,726.79, 20,590.18 and 5,402.28 is: 8,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.79 : 20,590.18 = 5,402.28 : x
  2. Step 2: Convert to fraction form
    13,726.79/20,590.18 = 5,402.28/x
  3. Step 3: Cross multiply
    13,726.79x = 20,590.18 × 5,402.28
  4. Step 4: Simplify right side
    13,726.79x = 111,233,917.61
  5. Step 5: Solve for x
    x = 111,233,917.61/13,726.79
  6. Step 6: Final answer
    x = 8,103.42

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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.