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Finding the Fourth Proportional to 22,376.25, 30,877.20 and 12,305.12

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Solution

The fourth proportional to 22,376.25, 30,877.20 and 12,305.12 is: 16,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.25 : 30,877.20 = 12,305.12 : x
  2. Step 2: Convert to fraction form
    22,376.25/30,877.20 = 12,305.12/x
  3. Step 3: Cross multiply
    22,376.25x = 30,877.20 × 12,305.12
  4. Step 4: Simplify right side
    22,376.25x = 379,947,496.88
  5. Step 5: Solve for x
    x = 379,947,496.88/22,376.25
  6. Step 6: Final answer
    x = 16,979.95

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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.