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Finding the Fourth Proportional to 16,232.16, 24,351.84 and 5,142.24

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Solution

The fourth proportional to 16,232.16, 24,351.84 and 5,142.24 is: 7,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.16 : 24,351.84 = 5,142.24 : x
  2. Step 2: Convert to fraction form
    16,232.16/24,351.84 = 5,142.24/x
  3. Step 3: Cross multiply
    16,232.16x = 24,351.84 × 5,142.24
  4. Step 4: Simplify right side
    16,232.16x = 125,223,005.72
  5. Step 5: Solve for x
    x = 125,223,005.72/16,232.16
  6. Step 6: Final answer
    x = 7,714.50

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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.