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Finding the Fourth Proportional to 17,669.00, 24,382.32 and 9,711.51

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Solution

The fourth proportional to 17,669.00, 24,382.32 and 9,711.51 is: 13,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.00 : 24,382.32 = 9,711.51 : x
  2. Step 2: Convert to fraction form
    17,669.00/24,382.32 = 9,711.51/x
  3. Step 3: Cross multiply
    17,669.00x = 24,382.32 × 9,711.51
  4. Step 4: Simplify right side
    17,669.00x = 236,789,016.65
  5. Step 5: Solve for x
    x = 236,789,016.65/17,669.00
  6. Step 6: Final answer
    x = 13,401.38

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Why These Related Problems?

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