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Finding the Fourth Proportional to 22,646.18, 33,963.20 and 6,847.14

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Solution

The fourth proportional to 22,646.18, 33,963.20 and 6,847.14 is: 10,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.18 : 33,963.20 = 6,847.14 : x
  2. Step 2: Convert to fraction form
    22,646.18/33,963.20 = 6,847.14/x
  3. Step 3: Cross multiply
    22,646.18x = 33,963.20 × 6,847.14
  4. Step 4: Simplify right side
    22,646.18x = 232,550,785.25
  5. Step 5: Solve for x
    x = 232,550,785.25/22,646.18
  6. Step 6: Final answer
    x = 10,268.87

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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.