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Finding the Fourth Proportional to 22,684, 34,040.60 and 8,833

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Solution

The fourth proportional to 22,684, 34,040.60 and 8,833 is: 13,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684 : 34,040.60 = 8,833 : x
  2. Step 2: Convert to fraction form
    22,684/34,040.60 = 8,833/x
  3. Step 3: Cross multiply
    22,684x = 34,040.60 × 8,833
  4. Step 4: Simplify right side
    22,684x = 300,680,619.80
  5. Step 5: Solve for x
    x = 300,680,619.80/22,684
  6. Step 6: Final answer
    x = 13,255.19

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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.