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Finding the Fourth Proportional to 17,786.98, 24,545.64 and 9,829.54

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Solution

The fourth proportional to 17,786.98, 24,545.64 and 9,829.54 is: 13,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.98 : 24,545.64 = 9,829.54 : x
  2. Step 2: Convert to fraction form
    17,786.98/24,545.64 = 9,829.54/x
  3. Step 3: Cross multiply
    17,786.98x = 24,545.64 × 9,829.54
  4. Step 4: Simplify right side
    17,786.98x = 241,272,350.21
  5. Step 5: Solve for x
    x = 241,272,350.21/17,786.98
  6. Step 6: Final answer
    x = 13,564.55

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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.