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Finding the Fourth Proportional to 17,786.52, 24,545.16 and 9,828.54

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Solution

The fourth proportional to 17,786.52, 24,545.16 and 9,828.54 is: 13,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.52 : 24,545.16 = 9,828.54 : x
  2. Step 2: Convert to fraction form
    17,786.52/24,545.16 = 9,828.54/x
  3. Step 3: Cross multiply
    17,786.52x = 24,545.16 × 9,828.54
  4. Step 4: Simplify right side
    17,786.52x = 241,243,086.87
  5. Step 5: Solve for x
    x = 241,243,086.87/17,786.52
  6. Step 6: Final answer
    x = 13,563.25

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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.