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Finding the Fourth Proportional to 22,608.71, 31,198.50 and 12,536.78

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Solution

The fourth proportional to 22,608.71, 31,198.50 and 12,536.78 is: 17,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.71 : 31,198.50 = 12,536.78 : x
  2. Step 2: Convert to fraction form
    22,608.71/31,198.50 = 12,536.78/x
  3. Step 3: Cross multiply
    22,608.71x = 31,198.50 × 12,536.78
  4. Step 4: Simplify right side
    22,608.71x = 391,128,825.16
  5. Step 5: Solve for x
    x = 391,128,825.16/22,608.71
  6. Step 6: Final answer
    x = 17,299.92

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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.