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Finding the Fourth Proportional to 20,986.32, 31,471.28 and 8,503.12

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Solution

The fourth proportional to 20,986.32, 31,471.28 and 8,503.12 is: 12,751.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986.32 : 31,471.28 = 8,503.12 : x
  2. Step 2: Convert to fraction form
    20,986.32/31,471.28 = 8,503.12/x
  3. Step 3: Cross multiply
    20,986.32x = 31,471.28 × 8,503.12
  4. Step 4: Simplify right side
    20,986.32x = 267,604,070.39
  5. Step 5: Solve for x
    x = 267,604,070.39/20,986.32
  6. Step 6: Final answer
    x = 12,751.36

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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.