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Finding the Fourth Proportional to 20,687.85, 31,036.95 and 6,649.11

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Solution

The fourth proportional to 20,687.85, 31,036.95 and 6,649.11 is: 9,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.85 : 31,036.95 = 6,649.11 : x
  2. Step 2: Convert to fraction form
    20,687.85/31,036.95 = 6,649.11/x
  3. Step 3: Cross multiply
    20,687.85x = 31,036.95 × 6,649.11
  4. Step 4: Simplify right side
    20,687.85x = 206,368,094.61
  5. Step 5: Solve for x
    x = 206,368,094.61/20,687.85
  6. Step 6: Final answer
    x = 9,975.33

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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.