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Finding the Fourth Proportional to 20,872.44, 31,301.28 and 6,077.34

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Solution

The fourth proportional to 20,872.44, 31,301.28 and 6,077.34 is: 9,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.44 : 31,301.28 = 6,077.34 : x
  2. Step 2: Convert to fraction form
    20,872.44/31,301.28 = 6,077.34/x
  3. Step 3: Cross multiply
    20,872.44x = 31,301.28 × 6,077.34
  4. Step 4: Simplify right side
    20,872.44x = 190,228,521.00
  5. Step 5: Solve for x
    x = 190,228,521.00/20,872.44
  6. Step 6: Final answer
    x = 9,113.86

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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.