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Finding the Fourth Proportional to 18,147.64, 27,204.18 and 5,827

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Solution

The fourth proportional to 18,147.64, 27,204.18 and 5,827 is: 8,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,147.64 : 27,204.18 = 5,827 : x
  2. Step 2: Convert to fraction form
    18,147.64/27,204.18 = 5,827/x
  3. Step 3: Cross multiply
    18,147.64x = 27,204.18 × 5,827
  4. Step 4: Simplify right side
    18,147.64x = 158,518,756.86
  5. Step 5: Solve for x
    x = 158,518,756.86/18,147.64
  6. Step 6: Final answer
    x = 8,734.95

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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.