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Finding the Fourth Proportional to 16,140.86, 22,274.96 and 9,067.14

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Solution

The fourth proportional to 16,140.86, 22,274.96 and 9,067.14 is: 12,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.86 : 22,274.96 = 9,067.14 : x
  2. Step 2: Convert to fraction form
    16,140.86/22,274.96 = 9,067.14/x
  3. Step 3: Cross multiply
    16,140.86x = 22,274.96 × 9,067.14
  4. Step 4: Simplify right side
    16,140.86x = 201,970,180.81
  5. Step 5: Solve for x
    x = 201,970,180.81/16,140.86
  6. Step 6: Final answer
    x = 12,512.98

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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.