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Finding the Fourth Proportional to 22,907.74, 34,377 and 8,116.60

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Solution

The fourth proportional to 22,907.74, 34,377 and 8,116.60 is: 12,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.74 : 34,377 = 8,116.60 : x
  2. Step 2: Convert to fraction form
    22,907.74/34,377 = 8,116.60/x
  3. Step 3: Cross multiply
    22,907.74x = 34,377 × 8,116.60
  4. Step 4: Simplify right side
    22,907.74x = 279,024,358.20
  5. Step 5: Solve for x
    x = 279,024,358.20/22,907.74
  6. Step 6: Final answer
    x = 12,180.35

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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.