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Finding the Fourth Proportional to 20,886.10, 31,321.85 and 8,402.88

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Solution

The fourth proportional to 20,886.10, 31,321.85 and 8,402.88 is: 12,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.10 : 31,321.85 = 8,402.88 : x
  2. Step 2: Convert to fraction form
    20,886.10/31,321.85 = 8,402.88/x
  3. Step 3: Cross multiply
    20,886.10x = 31,321.85 × 8,402.88
  4. Step 4: Simplify right side
    20,886.10x = 263,193,746.93
  5. Step 5: Solve for x
    x = 263,193,746.93/20,886.10
  6. Step 6: Final answer
    x = 12,601.38

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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.