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Finding the Fourth Proportional to 12,236.78, 18,355.86 and 3,471

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Solution

The fourth proportional to 12,236.78, 18,355.86 and 3,471 is: 5,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.78 : 18,355.86 = 3,471 : x
  2. Step 2: Convert to fraction form
    12,236.78/18,355.86 = 3,471/x
  3. Step 3: Cross multiply
    12,236.78x = 18,355.86 × 3,471
  4. Step 4: Simplify right side
    12,236.78x = 63,713,190.06
  5. Step 5: Solve for x
    x = 63,713,190.06/12,236.78
  6. Step 6: Final answer
    x = 5,206.70

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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.