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Finding the Fourth Proportional to 16,133.68, 24,189.66 and 8,239

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Solution

The fourth proportional to 16,133.68, 24,189.66 and 8,239 is: 12,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.68 : 24,189.66 = 8,239 : x
  2. Step 2: Convert to fraction form
    16,133.68/24,189.66 = 8,239/x
  3. Step 3: Cross multiply
    16,133.68x = 24,189.66 × 8,239
  4. Step 4: Simplify right side
    16,133.68x = 199,298,608.74
  5. Step 5: Solve for x
    x = 199,298,608.74/16,133.68
  6. Step 6: Final answer
    x = 12,352.95

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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.