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Finding the Fourth Proportional to 16,132.68, 24,188.16 and 8,238

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Solution

The fourth proportional to 16,132.68, 24,188.16 and 8,238 is: 12,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.68 : 24,188.16 = 8,238 : x
  2. Step 2: Convert to fraction form
    16,132.68/24,188.16 = 8,238/x
  3. Step 3: Cross multiply
    16,132.68x = 24,188.16 × 8,238
  4. Step 4: Simplify right side
    16,132.68x = 199,262,062.08
  5. Step 5: Solve for x
    x = 199,262,062.08/16,132.68
  6. Step 6: Final answer
    x = 12,351.45

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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.