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Finding the Fourth Proportional to 22,306.31, 30,784.33 and 12,745.97

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Solution

The fourth proportional to 22,306.31, 30,784.33 and 12,745.97 is: 17,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.31 : 30,784.33 = 12,745.97 : x
  2. Step 2: Convert to fraction form
    22,306.31/30,784.33 = 12,745.97/x
  3. Step 3: Cross multiply
    22,306.31x = 30,784.33 × 12,745.97
  4. Step 4: Simplify right side
    22,306.31x = 392,376,191.75
  5. Step 5: Solve for x
    x = 392,376,191.75/22,306.31
  6. Step 6: Final answer
    x = 17,590.37

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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.