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Finding the Fourth Proportional to 22,335.35, 30,823.17 and 12,264.22

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Solution

The fourth proportional to 22,335.35, 30,823.17 and 12,264.22 is: 16,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.35 : 30,823.17 = 12,264.22 : x
  2. Step 2: Convert to fraction form
    22,335.35/30,823.17 = 12,264.22/x
  3. Step 3: Cross multiply
    22,335.35x = 30,823.17 × 12,264.22
  4. Step 4: Simplify right side
    22,335.35x = 378,021,922.54
  5. Step 5: Solve for x
    x = 378,021,922.54/22,335.35
  6. Step 6: Final answer
    x = 16,924.83

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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.