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Finding the Fourth Proportional to 16,339.84, 22,549.62 and 9,267.64

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Solution

The fourth proportional to 16,339.84, 22,549.62 and 9,267.64 is: 12,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.84 : 22,549.62 = 9,267.64 : x
  2. Step 2: Convert to fraction form
    16,339.84/22,549.62 = 9,267.64/x
  3. Step 3: Cross multiply
    16,339.84x = 22,549.62 × 9,267.64
  4. Step 4: Simplify right side
    16,339.84x = 208,981,760.30
  5. Step 5: Solve for x
    x = 208,981,760.30/16,339.84
  6. Step 6: Final answer
    x = 12,789.71

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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.