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Finding the Fourth Proportional to 13,780.97, 20,663.85 and 4,290.71

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Solution

The fourth proportional to 13,780.97, 20,663.85 and 4,290.71 is: 6,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.97 : 20,663.85 = 4,290.71 : x
  2. Step 2: Convert to fraction form
    13,780.97/20,663.85 = 4,290.71/x
  3. Step 3: Cross multiply
    13,780.97x = 20,663.85 × 4,290.71
  4. Step 4: Simplify right side
    13,780.97x = 88,662,587.83
  5. Step 5: Solve for x
    x = 88,662,587.83/13,780.97
  6. Step 6: Final answer
    x = 6,433.70

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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.