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Finding the Fourth Proportional to 33,191.38, 49,787.07 and 9,816

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Solution

The fourth proportional to 33,191.38, 49,787.07 and 9,816 is: 14,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,191.38 : 49,787.07 = 9,816 : x
  2. Step 2: Convert to fraction form
    33,191.38/49,787.07 = 9,816/x
  3. Step 3: Cross multiply
    33,191.38x = 49,787.07 × 9,816
  4. Step 4: Simplify right side
    33,191.38x = 488,709,879.12
  5. Step 5: Solve for x
    x = 488,709,879.12/33,191.38
  6. Step 6: Final answer
    x = 14,724.00

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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.