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Finding the Fourth Proportional to 16,222.68, 24,324.18 and 7,894.30

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Solution

The fourth proportional to 16,222.68, 24,324.18 and 7,894.30 is: 11,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.68 : 24,324.18 = 7,894.30 : x
  2. Step 2: Convert to fraction form
    16,222.68/24,324.18 = 7,894.30/x
  3. Step 3: Cross multiply
    16,222.68x = 24,324.18 × 7,894.30
  4. Step 4: Simplify right side
    16,222.68x = 192,022,374.17
  5. Step 5: Solve for x
    x = 192,022,374.17/16,222.68
  6. Step 6: Final answer
    x = 11,836.66

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1.5x scale

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.