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Finding the Fourth Proportional to 20,684.66, 31,024.04 and 6,642.88

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Solution

The fourth proportional to 20,684.66, 31,024.04 and 6,642.88 is: 9,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.66 : 31,024.04 = 6,642.88 : x
  2. Step 2: Convert to fraction form
    20,684.66/31,024.04 = 6,642.88/x
  3. Step 3: Cross multiply
    20,684.66x = 31,024.04 × 6,642.88
  4. Step 4: Simplify right side
    20,684.66x = 206,088,974.84
  5. Step 5: Solve for x
    x = 206,088,974.84/20,684.66
  6. Step 6: Final answer
    x = 9,963.37

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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.