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Finding the Fourth Proportional to 13,740.49, 20,616.54 and 6,726.70

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Solution

The fourth proportional to 13,740.49, 20,616.54 and 6,726.70 is: 10,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.49 : 20,616.54 = 6,726.70 : x
  2. Step 2: Convert to fraction form
    13,740.49/20,616.54 = 6,726.70/x
  3. Step 3: Cross multiply
    13,740.49x = 20,616.54 × 6,726.70
  4. Step 4: Simplify right side
    13,740.49x = 138,681,279.62
  5. Step 5: Solve for x
    x = 138,681,279.62/13,740.49
  6. Step 6: Final answer
    x = 10,092.89

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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.