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Finding the Fourth Proportional to 20,906.88, 31,359.72 and 6,116.16

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Solution

The fourth proportional to 20,906.88, 31,359.72 and 6,116.16 is: 9,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.88 : 31,359.72 = 6,116.16 : x
  2. Step 2: Convert to fraction form
    20,906.88/31,359.72 = 6,116.16/x
  3. Step 3: Cross multiply
    20,906.88x = 31,359.72 × 6,116.16
  4. Step 4: Simplify right side
    20,906.88x = 191,801,065.08
  5. Step 5: Solve for x
    x = 191,801,065.08/20,906.88
  6. Step 6: Final answer
    x = 9,174.06

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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.