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Finding the Fourth Proportional to 17,535.72, 24,199.79 and 9,578.06

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Solution

The fourth proportional to 17,535.72, 24,199.79 and 9,578.06 is: 13,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.72 : 24,199.79 = 9,578.06 : x
  2. Step 2: Convert to fraction form
    17,535.72/24,199.79 = 9,578.06/x
  3. Step 3: Cross multiply
    17,535.72x = 24,199.79 × 9,578.06
  4. Step 4: Simplify right side
    17,535.72x = 231,786,871.72
  5. Step 5: Solve for x
    x = 231,786,871.72/17,535.72
  6. Step 6: Final answer
    x = 13,217.98

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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.