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Finding the Fourth Proportional to 13,807.80, 20,696.34 and 8,268.60

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Solution

The fourth proportional to 13,807.80, 20,696.34 and 8,268.60 is: 12,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.80 : 20,696.34 = 8,268.60 : x
  2. Step 2: Convert to fraction form
    13,807.80/20,696.34 = 8,268.60/x
  3. Step 3: Cross multiply
    13,807.80x = 20,696.34 × 8,268.60
  4. Step 4: Simplify right side
    13,807.80x = 171,129,756.92
  5. Step 5: Solve for x
    x = 171,129,756.92/13,807.80
  6. Step 6: Final answer
    x = 12,393.70

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Why These Related Problems?

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