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Finding the Fourth Proportional to 22,196.92, 33,295.40 and 6,614.16

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Solution

The fourth proportional to 22,196.92, 33,295.40 and 6,614.16 is: 9,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.92 : 33,295.40 = 6,614.16 : x
  2. Step 2: Convert to fraction form
    22,196.92/33,295.40 = 6,614.16/x
  3. Step 3: Cross multiply
    22,196.92x = 33,295.40 × 6,614.16
  4. Step 4: Simplify right side
    22,196.92x = 220,221,102.86
  5. Step 5: Solve for x
    x = 220,221,102.86/22,196.92
  6. Step 6: Final answer
    x = 9,921.25

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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.