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Finding the Fourth Proportional to 22,342.35, 30,830.51 and 12,780.30

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Solution

The fourth proportional to 22,342.35, 30,830.51 and 12,780.30 is: 17,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.35 : 30,830.51 = 12,780.30 : x
  2. Step 2: Convert to fraction form
    22,342.35/30,830.51 = 12,780.30/x
  3. Step 3: Cross multiply
    22,342.35x = 30,830.51 × 12,780.30
  4. Step 4: Simplify right side
    22,342.35x = 394,023,198.90
  5. Step 5: Solve for x
    x = 394,023,198.90/22,342.35
  6. Step 6: Final answer
    x = 17,635.71

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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.