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Finding the Fourth Proportional to 16,182.93, 22,332.78 and 9,473.43

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Solution

The fourth proportional to 16,182.93, 22,332.78 and 9,473.43 is: 13,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.93 : 22,332.78 = 9,473.43 : x
  2. Step 2: Convert to fraction form
    16,182.93/22,332.78 = 9,473.43/x
  3. Step 3: Cross multiply
    16,182.93x = 22,332.78 × 9,473.43
  4. Step 4: Simplify right side
    16,182.93x = 211,568,028.04
  5. Step 5: Solve for x
    x = 211,568,028.04/16,182.93
  6. Step 6: Final answer
    x = 13,073.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.