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Finding the Fourth Proportional to 27,191.16, 40,785.10 and 16,168

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Solution

The fourth proportional to 27,191.16, 40,785.10 and 16,168 is: 24,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191.16 : 40,785.10 = 16,168 : x
  2. Step 2: Convert to fraction form
    27,191.16/40,785.10 = 16,168/x
  3. Step 3: Cross multiply
    27,191.16x = 40,785.10 × 16,168
  4. Step 4: Simplify right side
    27,191.16x = 659,413,496.80
  5. Step 5: Solve for x
    x = 659,413,496.80/27,191.16
  6. Step 6: Final answer
    x = 24,251.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.