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Finding the Fourth Proportional to 22,382.89, 30,886.25 and 12,311.17

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Solution

The fourth proportional to 22,382.89, 30,886.25 and 12,311.17 is: 16,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.89 : 30,886.25 = 12,311.17 : x
  2. Step 2: Convert to fraction form
    22,382.89/30,886.25 = 12,311.17/x
  3. Step 3: Cross multiply
    22,382.89x = 30,886.25 × 12,311.17
  4. Step 4: Simplify right side
    22,382.89x = 380,245,812.86
  5. Step 5: Solve for x
    x = 380,245,812.86/22,382.89
  6. Step 6: Final answer
    x = 16,988.24

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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.