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Finding the Fourth Proportional to 15,203.97, 22,757.36 and 8,949.15

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Solution

The fourth proportional to 15,203.97, 22,757.36 and 8,949.15 is: 13,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.97 : 22,757.36 = 8,949.15 : x
  2. Step 2: Convert to fraction form
    15,203.97/22,757.36 = 8,949.15/x
  3. Step 3: Cross multiply
    15,203.97x = 22,757.36 × 8,949.15
  4. Step 4: Simplify right side
    15,203.97x = 203,658,983.50
  5. Step 5: Solve for x
    x = 203,658,983.50/15,203.97
  6. Step 6: Final answer
    x = 13,395.12

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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.