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Finding the Fourth Proportional to 16,382.71, 22,608.68 and 9,213.87

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Solution

The fourth proportional to 16,382.71, 22,608.68 and 9,213.87 is: 12,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.71 : 22,608.68 = 9,213.87 : x
  2. Step 2: Convert to fraction form
    16,382.71/22,608.68 = 9,213.87/x
  3. Step 3: Cross multiply
    16,382.71x = 22,608.68 × 9,213.87
  4. Step 4: Simplify right side
    16,382.71x = 208,313,517.95
  5. Step 5: Solve for x
    x = 208,313,517.95/16,382.71
  6. Step 6: Final answer
    x = 12,715.45

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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.