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Finding the Fourth Proportional to 20,895.12, 31,343.72 and 6,853.90

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Solution

The fourth proportional to 20,895.12, 31,343.72 and 6,853.90 is: 10,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,895.12 : 31,343.72 = 6,853.90 : x
  2. Step 2: Convert to fraction form
    20,895.12/31,343.72 = 6,853.90/x
  3. Step 3: Cross multiply
    20,895.12x = 31,343.72 × 6,853.90
  4. Step 4: Simplify right side
    20,895.12x = 214,826,778.82
  5. Step 5: Solve for x
    x = 214,826,778.82/20,895.12
  6. Step 6: Final answer
    x = 10,281.20

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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.