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Finding the Fourth Proportional to 15,180, 22,772.42 and 6,414.99

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Solution

The fourth proportional to 15,180, 22,772.42 and 6,414.99 is: 9,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,180 : 22,772.42 = 6,414.99 : x
  2. Step 2: Convert to fraction form
    15,180/22,772.42 = 6,414.99/x
  3. Step 3: Cross multiply
    15,180x = 22,772.42 × 6,414.99
  4. Step 4: Simplify right side
    15,180x = 146,084,846.58
  5. Step 5: Solve for x
    x = 146,084,846.58/15,180
  6. Step 6: Final answer
    x = 9,623.51

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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.