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Finding the Fourth Proportional to 20,877.75, 31,308.85 and 8,393.58

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Solution

The fourth proportional to 20,877.75, 31,308.85 and 8,393.58 is: 12,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.75 : 31,308.85 = 8,393.58 : x
  2. Step 2: Convert to fraction form
    20,877.75/31,308.85 = 8,393.58/x
  3. Step 3: Cross multiply
    20,877.75x = 31,308.85 × 8,393.58
  4. Step 4: Simplify right side
    20,877.75x = 262,793,337.18
  5. Step 5: Solve for x
    x = 262,793,337.18/20,877.75
  6. Step 6: Final answer
    x = 12,587.24

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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.