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Finding the Fourth Proportional to 15,232.16, 22,843.92 and 5,996

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Solution

The fourth proportional to 15,232.16, 22,843.92 and 5,996 is: 8,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232.16 : 22,843.92 = 5,996 : x
  2. Step 2: Convert to fraction form
    15,232.16/22,843.92 = 5,996/x
  3. Step 3: Cross multiply
    15,232.16x = 22,843.92 × 5,996
  4. Step 4: Simplify right side
    15,232.16x = 136,972,144.32
  5. Step 5: Solve for x
    x = 136,972,144.32/15,232.16
  6. Step 6: Final answer
    x = 8,992.30

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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.