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Finding the Fourth Proportional to 12,184.89, 18,278 and 3,865.54

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Solution

The fourth proportional to 12,184.89, 18,278 and 3,865.54 is: 5,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.89 : 18,278 = 3,865.54 : x
  2. Step 2: Convert to fraction form
    12,184.89/18,278 = 3,865.54/x
  3. Step 3: Cross multiply
    12,184.89x = 18,278 × 3,865.54
  4. Step 4: Simplify right side
    12,184.89x = 70,654,340.12
  5. Step 5: Solve for x
    x = 70,654,340.12/12,184.89
  6. Step 6: Final answer
    x = 5,798.52

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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.