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Finding the Fourth Proportional to 16,716.51, 23,067.72 and 9,161.51

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Solution

The fourth proportional to 16,716.51, 23,067.72 and 9,161.51 is: 12,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.51 : 23,067.72 = 9,161.51 : x
  2. Step 2: Convert to fraction form
    16,716.51/23,067.72 = 9,161.51/x
  3. Step 3: Cross multiply
    16,716.51x = 23,067.72 × 9,161.51
  4. Step 4: Simplify right side
    16,716.51x = 211,335,032.12
  5. Step 5: Solve for x
    x = 211,335,032.12/16,716.51
  6. Step 6: Final answer
    x = 12,642.29

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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.