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Finding the Fourth Proportional to 16,234.62, 24,355.62 and 5,142

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Solution

The fourth proportional to 16,234.62, 24,355.62 and 5,142 is: 7,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.62 : 24,355.62 = 5,142 : x
  2. Step 2: Convert to fraction form
    16,234.62/24,355.62 = 5,142/x
  3. Step 3: Cross multiply
    16,234.62x = 24,355.62 × 5,142
  4. Step 4: Simplify right side
    16,234.62x = 125,236,598.04
  5. Step 5: Solve for x
    x = 125,236,598.04/16,234.62
  6. Step 6: Final answer
    x = 7,714.17

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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.