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Finding the Fourth Proportional to 22,882.77, 31,578.30 and 12,811.23

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Solution

The fourth proportional to 22,882.77, 31,578.30 and 12,811.23 is: 17,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.77 : 31,578.30 = 12,811.23 : x
  2. Step 2: Convert to fraction form
    22,882.77/31,578.30 = 12,811.23/x
  3. Step 3: Cross multiply
    22,882.77x = 31,578.30 × 12,811.23
  4. Step 4: Simplify right side
    22,882.77x = 404,556,864.31
  5. Step 5: Solve for x
    x = 404,556,864.31/22,882.77
  6. Step 6: Final answer
    x = 17,679.54

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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.