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Finding the Fourth Proportional to 22,876.86, 31,568.31 and 12,804.54

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Solution

The fourth proportional to 22,876.86, 31,568.31 and 12,804.54 is: 17,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.86 : 31,568.31 = 12,804.54 : x
  2. Step 2: Convert to fraction form
    22,876.86/31,568.31 = 12,804.54/x
  3. Step 3: Cross multiply
    22,876.86x = 31,568.31 × 12,804.54
  4. Step 4: Simplify right side
    22,876.86x = 404,217,688.13
  5. Step 5: Solve for x
    x = 404,217,688.13/22,876.86
  6. Step 6: Final answer
    x = 17,669.28

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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.