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Finding the Fourth Proportional to 22,886.86, 31,584.39 and 12,815.02

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Solution

The fourth proportional to 22,886.86, 31,584.39 and 12,815.02 is: 17,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.86 : 31,584.39 = 12,815.02 : x
  2. Step 2: Convert to fraction form
    22,886.86/31,584.39 = 12,815.02/x
  3. Step 3: Cross multiply
    22,886.86x = 31,584.39 × 12,815.02
  4. Step 4: Simplify right side
    22,886.86x = 404,754,589.54
  5. Step 5: Solve for x
    x = 404,754,589.54/22,886.86
  6. Step 6: Final answer
    x = 17,685.02

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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.