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Finding the Fourth Proportional to 22,857.68, 31,543.02 and 12,786.54

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Solution

The fourth proportional to 22,857.68, 31,543.02 and 12,786.54 is: 17,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.68 : 31,543.02 = 12,786.54 : x
  2. Step 2: Convert to fraction form
    22,857.68/31,543.02 = 12,786.54/x
  3. Step 3: Cross multiply
    22,857.68x = 31,543.02 × 12,786.54
  4. Step 4: Simplify right side
    22,857.68x = 403,326,146.09
  5. Step 5: Solve for x
    x = 403,326,146.09/22,857.68
  6. Step 6: Final answer
    x = 17,645.11

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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.