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Finding the Fourth Proportional to 17,521.89, 24,180.08 and 9,564.45

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Solution

The fourth proportional to 17,521.89, 24,180.08 and 9,564.45 is: 13,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,521.89 : 24,180.08 = 9,564.45 : x
  2. Step 2: Convert to fraction form
    17,521.89/24,180.08 = 9,564.45/x
  3. Step 3: Cross multiply
    17,521.89x = 24,180.08 × 9,564.45
  4. Step 4: Simplify right side
    17,521.89x = 231,269,118.33
  5. Step 5: Solve for x
    x = 231,269,118.33/17,521.89
  6. Step 6: Final answer
    x = 13,198.87

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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.