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Finding the Fourth Proportional to 20,866.80, 31,295.25 and 8,386.86

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Solution

The fourth proportional to 20,866.80, 31,295.25 and 8,386.86 is: 12,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.80 : 31,295.25 = 8,386.86 : x
  2. Step 2: Convert to fraction form
    20,866.80/31,295.25 = 8,386.86/x
  3. Step 3: Cross multiply
    20,866.80x = 31,295.25 × 8,386.86
  4. Step 4: Simplify right side
    20,866.80x = 262,468,880.42
  5. Step 5: Solve for x
    x = 262,468,880.42/20,866.80
  6. Step 6: Final answer
    x = 12,578.30

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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.