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Finding the Fourth Proportional to 16,092.65, 22,206.64 and 9,017.71

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Solution

The fourth proportional to 16,092.65, 22,206.64 and 9,017.71 is: 12,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.65 : 22,206.64 = 9,017.71 : x
  2. Step 2: Convert to fraction form
    16,092.65/22,206.64 = 9,017.71/x
  3. Step 3: Cross multiply
    16,092.65x = 22,206.64 × 9,017.71
  4. Step 4: Simplify right side
    16,092.65x = 200,253,039.59
  5. Step 5: Solve for x
    x = 200,253,039.59/16,092.65
  6. Step 6: Final answer
    x = 12,443.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.