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Finding the Fourth Proportional to 22,866.28, 34,303.26 and 7,872.80

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Solution

The fourth proportional to 22,866.28, 34,303.26 and 7,872.80 is: 11,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866.28 : 34,303.26 = 7,872.80 : x
  2. Step 2: Convert to fraction form
    22,866.28/34,303.26 = 7,872.80/x
  3. Step 3: Cross multiply
    22,866.28x = 34,303.26 × 7,872.80
  4. Step 4: Simplify right side
    22,866.28x = 270,062,705.33
  5. Step 5: Solve for x
    x = 270,062,705.33/22,866.28
  6. Step 6: Final answer
    x = 11,810.52

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