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Finding the Fourth Proportional to 20,695.50, 31,044.87 and 6,844.50

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Solution

The fourth proportional to 20,695.50, 31,044.87 and 6,844.50 is: 10,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.50 : 31,044.87 = 6,844.50 : x
  2. Step 2: Convert to fraction form
    20,695.50/31,044.87 = 6,844.50/x
  3. Step 3: Cross multiply
    20,695.50x = 31,044.87 × 6,844.50
  4. Step 4: Simplify right side
    20,695.50x = 212,486,612.72
  5. Step 5: Solve for x
    x = 212,486,612.72/20,695.50
  6. Step 6: Final answer
    x = 10,267.29

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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.