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Finding the Fourth Proportional to 20,987.06, 31,480.65 and 8,507.32

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Solution

The fourth proportional to 20,987.06, 31,480.65 and 8,507.32 is: 12,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987.06 : 31,480.65 = 8,507.32 : x
  2. Step 2: Convert to fraction form
    20,987.06/31,480.65 = 8,507.32/x
  3. Step 3: Cross multiply
    20,987.06x = 31,480.65 × 8,507.32
  4. Step 4: Simplify right side
    20,987.06x = 267,815,884.66
  5. Step 5: Solve for x
    x = 267,815,884.66/20,987.06
  6. Step 6: Final answer
    x = 12,761.00

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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.