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Finding the Fourth Proportional to 16,794.78, 23,177.79 and 9,723.66

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Solution

The fourth proportional to 16,794.78, 23,177.79 and 9,723.66 is: 13,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,794.78 : 23,177.79 = 9,723.66 : x
  2. Step 2: Convert to fraction form
    16,794.78/23,177.79 = 9,723.66/x
  3. Step 3: Cross multiply
    16,794.78x = 23,177.79 × 9,723.66
  4. Step 4: Simplify right side
    16,794.78x = 225,372,949.51
  5. Step 5: Solve for x
    x = 225,372,949.51/16,794.78
  6. Step 6: Final answer
    x = 13,419.23

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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.