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Finding the Fourth Proportional to 16,092.66, 22,206.24 and 9,019.74

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Solution

The fourth proportional to 16,092.66, 22,206.24 and 9,019.74 is: 12,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.66 : 22,206.24 = 9,019.74 : x
  2. Step 2: Convert to fraction form
    16,092.66/22,206.24 = 9,019.74/x
  3. Step 3: Cross multiply
    16,092.66x = 22,206.24 × 9,019.74
  4. Step 4: Simplify right side
    16,092.66x = 200,294,511.18
  5. Step 5: Solve for x
    x = 200,294,511.18/16,092.66
  6. Step 6: Final answer
    x = 12,446.33

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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.