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Finding the Fourth Proportional to 20,877.32, 31,309.14 and 6,087.24

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Solution

The fourth proportional to 20,877.32, 31,309.14 and 6,087.24 is: 9,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.32 : 31,309.14 = 6,087.24 : x
  2. Step 2: Convert to fraction form
    20,877.32/31,309.14 = 6,087.24/x
  3. Step 3: Cross multiply
    20,877.32x = 31,309.14 × 6,087.24
  4. Step 4: Simplify right side
    20,877.32x = 190,586,249.37
  5. Step 5: Solve for x
    x = 190,586,249.37/20,877.32
  6. Step 6: Final answer
    x = 9,128.87

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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.