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Finding the Fourth Proportional to 16,533.95, 22,816.49 and 8,980.09

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Solution

The fourth proportional to 16,533.95, 22,816.49 and 8,980.09 is: 12,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.95 : 22,816.49 = 8,980.09 : x
  2. Step 2: Convert to fraction form
    16,533.95/22,816.49 = 8,980.09/x
  3. Step 3: Cross multiply
    16,533.95x = 22,816.49 × 8,980.09
  4. Step 4: Simplify right side
    16,533.95x = 204,894,133.68
  5. Step 5: Solve for x
    x = 204,894,133.68/16,533.95
  6. Step 6: Final answer
    x = 12,392.33

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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.