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Finding the Fourth Proportional to 16,507.62, 22,776.84 and 9,789.84

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Solution

The fourth proportional to 16,507.62, 22,776.84 and 9,789.84 is: 13,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.62 : 22,776.84 = 9,789.84 : x
  2. Step 2: Convert to fraction form
    16,507.62/22,776.84 = 9,789.84/x
  3. Step 3: Cross multiply
    16,507.62x = 22,776.84 × 9,789.84
  4. Step 4: Simplify right side
    16,507.62x = 222,981,619.31
  5. Step 5: Solve for x
    x = 222,981,619.31/16,507.62
  6. Step 6: Final answer
    x = 13,507.80

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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.