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Finding the Fourth Proportional to 23,813.28, 35,694.81 and 9,767.07

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Solution

The fourth proportional to 23,813.28, 35,694.81 and 9,767.07 is: 14,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.28 : 35,694.81 = 9,767.07 : x
  2. Step 2: Convert to fraction form
    23,813.28/35,694.81 = 9,767.07/x
  3. Step 3: Cross multiply
    23,813.28x = 35,694.81 × 9,767.07
  4. Step 4: Simplify right side
    23,813.28x = 348,633,707.91
  5. Step 5: Solve for x
    x = 348,633,707.91/23,813.28
  6. Step 6: Final answer
    x = 14,640.31

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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.