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Finding the Fourth Proportional to 16,716.38, 23,067.81 and 10,005.71

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Solution

The fourth proportional to 16,716.38, 23,067.81 and 10,005.71 is: 13,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.38 : 23,067.81 = 10,005.71 : x
  2. Step 2: Convert to fraction form
    16,716.38/23,067.81 = 10,005.71/x
  3. Step 3: Cross multiply
    16,716.38x = 23,067.81 × 10,005.71
  4. Step 4: Simplify right side
    16,716.38x = 230,809,701.86
  5. Step 5: Solve for x
    x = 230,809,701.86/16,716.38
  6. Step 6: Final answer
    x = 13,807.40

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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.