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Finding the Fourth Proportional to 22,198.47, 33,302.78 and 6,403.64

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Solution

The fourth proportional to 22,198.47, 33,302.78 and 6,403.64 is: 9,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.47 : 33,302.78 = 6,403.64 : x
  2. Step 2: Convert to fraction form
    22,198.47/33,302.78 = 6,403.64/x
  3. Step 3: Cross multiply
    22,198.47x = 33,302.78 × 6,403.64
  4. Step 4: Simplify right side
    22,198.47x = 213,258,815.59
  5. Step 5: Solve for x
    x = 213,258,815.59/22,198.47
  6. Step 6: Final answer
    x = 9,606.92

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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.