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Finding the Fourth Proportional to 22,786.40, 34,184.40 and 7,205.60

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Solution

The fourth proportional to 22,786.40, 34,184.40 and 7,205.60 is: 10,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.40 : 34,184.40 = 7,205.60 : x
  2. Step 2: Convert to fraction form
    22,786.40/34,184.40 = 7,205.60/x
  3. Step 3: Cross multiply
    22,786.40x = 34,184.40 × 7,205.60
  4. Step 4: Simplify right side
    22,786.40x = 246,319,112.64
  5. Step 5: Solve for x
    x = 246,319,112.64/22,786.40
  6. Step 6: Final answer
    x = 10,809.92

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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.