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Finding the Fourth Proportional to 16,197.54, 22,356.78 and 10,546.40

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Solution

The fourth proportional to 16,197.54, 22,356.78 and 10,546.40 is: 14,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.54 : 22,356.78 = 10,546.40 : x
  2. Step 2: Convert to fraction form
    16,197.54/22,356.78 = 10,546.40/x
  3. Step 3: Cross multiply
    16,197.54x = 22,356.78 × 10,546.40
  4. Step 4: Simplify right side
    16,197.54x = 235,783,560.93
  5. Step 5: Solve for x
    x = 235,783,560.93/16,197.54
  6. Step 6: Final answer
    x = 14,556.75

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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.