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Finding the Fourth Proportional to 16,123.36, 22,250.08 and 9,049.64

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Solution

The fourth proportional to 16,123.36, 22,250.08 and 9,049.64 is: 12,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.36 : 22,250.08 = 9,049.64 : x
  2. Step 2: Convert to fraction form
    16,123.36/22,250.08 = 9,049.64/x
  3. Step 3: Cross multiply
    16,123.36x = 22,250.08 × 9,049.64
  4. Step 4: Simplify right side
    16,123.36x = 201,355,213.97
  5. Step 5: Solve for x
    x = 201,355,213.97/16,123.36
  6. Step 6: Final answer
    x = 12,488.42

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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.