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Finding the Fourth Proportional to 22,382.25, 30,888.32 and 12,311.46

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Solution

The fourth proportional to 22,382.25, 30,888.32 and 12,311.46 is: 16,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.25 : 30,888.32 = 12,311.46 : x
  2. Step 2: Convert to fraction form
    22,382.25/30,888.32 = 12,311.46/x
  3. Step 3: Cross multiply
    22,382.25x = 30,888.32 × 12,311.46
  4. Step 4: Simplify right side
    22,382.25x = 380,280,316.15
  5. Step 5: Solve for x
    x = 380,280,316.15/22,382.25
  6. Step 6: Final answer
    x = 16,990.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.