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Finding the Fourth Proportional to 12,154.42, 18,234.06 and 4,363.84

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Solution

The fourth proportional to 12,154.42, 18,234.06 and 4,363.84 is: 6,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.42 : 18,234.06 = 4,363.84 : x
  2. Step 2: Convert to fraction form
    12,154.42/18,234.06 = 4,363.84/x
  3. Step 3: Cross multiply
    12,154.42x = 18,234.06 × 4,363.84
  4. Step 4: Simplify right side
    12,154.42x = 79,570,520.39
  5. Step 5: Solve for x
    x = 79,570,520.39/12,154.42
  6. Step 6: Final answer
    x = 6,546.63

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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.