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Finding the Fourth Proportional to 22,630.16, 33,940.84 and 11,382.50

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Solution

The fourth proportional to 22,630.16, 33,940.84 and 11,382.50 is: 17,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,630.16 : 33,940.84 = 11,382.50 : x
  2. Step 2: Convert to fraction form
    22,630.16/33,940.84 = 11,382.50/x
  3. Step 3: Cross multiply
    22,630.16x = 33,940.84 × 11,382.50
  4. Step 4: Simplify right side
    22,630.16x = 386,331,413.14
  5. Step 5: Solve for x
    x = 386,331,413.14/22,630.16
  6. Step 6: Final answer
    x = 17,071.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.