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Finding the Fourth Proportional to 13,807.11, 20,695.77 and 6,778.95

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Solution

The fourth proportional to 13,807.11, 20,695.77 and 6,778.95 is: 10,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.11 : 20,695.77 = 6,778.95 : x
  2. Step 2: Convert to fraction form
    13,807.11/20,695.77 = 6,778.95/x
  3. Step 3: Cross multiply
    13,807.11x = 20,695.77 × 6,778.95
  4. Step 4: Simplify right side
    13,807.11x = 140,295,590.04
  5. Step 5: Solve for x
    x = 140,295,590.04/13,807.11
  6. Step 6: Final answer
    x = 10,161.11

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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.