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Finding the Fourth Proportional to 17,727.00, 24,463.16 and 9,660.65

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Solution

The fourth proportional to 17,727.00, 24,463.16 and 9,660.65 is: 13,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.00 : 24,463.16 = 9,660.65 : x
  2. Step 2: Convert to fraction form
    17,727.00/24,463.16 = 9,660.65/x
  3. Step 3: Cross multiply
    17,727.00x = 24,463.16 × 9,660.65
  4. Step 4: Simplify right side
    17,727.00x = 236,329,892.26
  5. Step 5: Solve for x
    x = 236,329,892.26/17,727.00
  6. Step 6: Final answer
    x = 13,331.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.