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Finding the Fourth Proportional to 20,807.91, 31,214.97 and 7,659.28

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Solution

The fourth proportional to 20,807.91, 31,214.97 and 7,659.28 is: 11,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.91 : 31,214.97 = 7,659.28 : x
  2. Step 2: Convert to fraction form
    20,807.91/31,214.97 = 7,659.28/x
  3. Step 3: Cross multiply
    20,807.91x = 31,214.97 × 7,659.28
  4. Step 4: Simplify right side
    20,807.91x = 239,084,001.05
  5. Step 5: Solve for x
    x = 239,084,001.05/20,807.91
  6. Step 6: Final answer
    x = 11,490.06

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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.