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Finding the Fourth Proportional to 20,777.32, 31,147.98 and 9,081.64

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Solution

The fourth proportional to 20,777.32, 31,147.98 and 9,081.64 is: 13,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.32 : 31,147.98 = 9,081.64 : x
  2. Step 2: Convert to fraction form
    20,777.32/31,147.98 = 9,081.64/x
  3. Step 3: Cross multiply
    20,777.32x = 31,147.98 × 9,081.64
  4. Step 4: Simplify right side
    20,777.32x = 282,874,741.09
  5. Step 5: Solve for x
    x = 282,874,741.09/20,777.32
  6. Step 6: Final answer
    x = 13,614.59

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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.