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Finding the Fourth Proportional to 20,818.90, 31,243.47 and 8,170.48

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Solution

The fourth proportional to 20,818.90, 31,243.47 and 8,170.48 is: 12,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.90 : 31,243.47 = 8,170.48 : x
  2. Step 2: Convert to fraction form
    20,818.90/31,243.47 = 8,170.48/x
  3. Step 3: Cross multiply
    20,818.90x = 31,243.47 × 8,170.48
  4. Step 4: Simplify right side
    20,818.90x = 255,274,146.77
  5. Step 5: Solve for x
    x = 255,274,146.77/20,818.90
  6. Step 6: Final answer
    x = 12,261.65

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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.