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Finding the Fourth Proportional to 17,786.66, 24,545.33 and 9,828.77

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Solution

The fourth proportional to 17,786.66, 24,545.33 and 9,828.77 is: 13,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.66 : 24,545.33 = 9,828.77 : x
  2. Step 2: Convert to fraction form
    17,786.66/24,545.33 = 9,828.77/x
  3. Step 3: Cross multiply
    17,786.66x = 24,545.33 × 9,828.77
  4. Step 4: Simplify right side
    17,786.66x = 241,250,231.27
  5. Step 5: Solve for x
    x = 241,250,231.27/17,786.66
  6. Step 6: Final answer
    x = 13,563.55

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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.