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Finding the Fourth Proportional to 22,881.34, 31,576.78 and 12,809.52

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Solution

The fourth proportional to 22,881.34, 31,576.78 and 12,809.52 is: 17,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.34 : 31,576.78 = 12,809.52 : x
  2. Step 2: Convert to fraction form
    22,881.34/31,576.78 = 12,809.52/x
  3. Step 3: Cross multiply
    22,881.34x = 31,576.78 × 12,809.52
  4. Step 4: Simplify right side
    22,881.34x = 404,483,394.95
  5. Step 5: Solve for x
    x = 404,483,394.95/22,881.34
  6. Step 6: Final answer
    x = 17,677.43

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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.