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Finding the Fourth Proportional to 16,235.92, 24,356.68 and 5,142.44

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Solution

The fourth proportional to 16,235.92, 24,356.68 and 5,142.44 is: 7,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.92 : 24,356.68 = 5,142.44 : x
  2. Step 2: Convert to fraction form
    16,235.92/24,356.68 = 5,142.44/x
  3. Step 3: Cross multiply
    16,235.92x = 24,356.68 × 5,142.44
  4. Step 4: Simplify right side
    16,235.92x = 125,252,765.50
  5. Step 5: Solve for x
    x = 125,252,765.50/16,235.92
  6. Step 6: Final answer
    x = 7,714.55

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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.