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Finding the Fourth Proportional to 20,754.79, 31,147.14 and 8,267.59

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Solution

The fourth proportional to 20,754.79, 31,147.14 and 8,267.59 is: 12,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.79 : 31,147.14 = 8,267.59 : x
  2. Step 2: Convert to fraction form
    20,754.79/31,147.14 = 8,267.59/x
  3. Step 3: Cross multiply
    20,754.79x = 31,147.14 × 8,267.59
  4. Step 4: Simplify right side
    20,754.79x = 257,511,853.13
  5. Step 5: Solve for x
    x = 257,511,853.13/20,754.79
  6. Step 6: Final answer
    x = 12,407.35

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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.