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Finding the Fourth Proportional to 13,149.66, 19,724.50 and 3,288.95

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Solution

The fourth proportional to 13,149.66, 19,724.50 and 3,288.95 is: 4,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.66 : 19,724.50 = 3,288.95 : x
  2. Step 2: Convert to fraction form
    13,149.66/19,724.50 = 3,288.95/x
  3. Step 3: Cross multiply
    13,149.66x = 19,724.50 × 3,288.95
  4. Step 4: Simplify right side
    13,149.66x = 64,872,787.43
  5. Step 5: Solve for x
    x = 64,872,787.43/13,149.66
  6. Step 6: Final answer
    x = 4,933.42

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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.