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Finding the Fourth Proportional to 22,884.42, 31,578.81 and 12,810.54

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Solution

The fourth proportional to 22,884.42, 31,578.81 and 12,810.54 is: 17,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.42 : 31,578.81 = 12,810.54 : x
  2. Step 2: Convert to fraction form
    22,884.42/31,578.81 = 12,810.54/x
  3. Step 3: Cross multiply
    22,884.42x = 31,578.81 × 12,810.54
  4. Step 4: Simplify right side
    22,884.42x = 404,541,608.66
  5. Step 5: Solve for x
    x = 404,541,608.66/22,884.42
  6. Step 6: Final answer
    x = 17,677.60

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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.