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Finding the Fourth Proportional to 12,434.87, 18,653.66 and 3,669.78

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Solution

The fourth proportional to 12,434.87, 18,653.66 and 3,669.78 is: 5,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.87 : 18,653.66 = 3,669.78 : x
  2. Step 2: Convert to fraction form
    12,434.87/18,653.66 = 3,669.78/x
  3. Step 3: Cross multiply
    12,434.87x = 18,653.66 × 3,669.78
  4. Step 4: Simplify right side
    12,434.87x = 68,454,810.05
  5. Step 5: Solve for x
    x = 68,454,810.05/12,434.87
  6. Step 6: Final answer
    x = 5,505.07

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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.