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Finding the Fourth Proportional to 22,155.78, 30,574.22 and 13,198.64

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Solution

The fourth proportional to 22,155.78, 30,574.22 and 13,198.64 is: 18,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,155.78 : 30,574.22 = 13,198.64 : x
  2. Step 2: Convert to fraction form
    22,155.78/30,574.22 = 13,198.64/x
  3. Step 3: Cross multiply
    22,155.78x = 30,574.22 × 13,198.64
  4. Step 4: Simplify right side
    22,155.78x = 403,537,904.20
  5. Step 5: Solve for x
    x = 403,537,904.20/22,155.78
  6. Step 6: Final answer
    x = 18,213.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.