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Finding the Fourth Proportional to 20,187.97, 30,283.97 and 7,718.48

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Solution

The fourth proportional to 20,187.97, 30,283.97 and 7,718.48 is: 11,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.97 : 30,283.97 = 7,718.48 : x
  2. Step 2: Convert to fraction form
    20,187.97/30,283.97 = 7,718.48/x
  3. Step 3: Cross multiply
    20,187.97x = 30,283.97 × 7,718.48
  4. Step 4: Simplify right side
    20,187.97x = 233,746,282.83
  5. Step 5: Solve for x
    x = 233,746,282.83/20,187.97
  6. Step 6: Final answer
    x = 11,578.50

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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.