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Finding the Fourth Proportional to 16,133.73, 24,182.46 and 8,214.02

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Solution

The fourth proportional to 16,133.73, 24,182.46 and 8,214.02 is: 12,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.73 : 24,182.46 = 8,214.02 : x
  2. Step 2: Convert to fraction form
    16,133.73/24,182.46 = 8,214.02/x
  3. Step 3: Cross multiply
    16,133.73x = 24,182.46 × 8,214.02
  4. Step 4: Simplify right side
    16,133.73x = 198,635,088.75
  5. Step 5: Solve for x
    x = 198,635,088.75/16,133.73
  6. Step 6: Final answer
    x = 12,311.79

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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.