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Finding the Fourth Proportional to 17,535.81, 24,199.39 and 9,578.04

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Solution

The fourth proportional to 17,535.81, 24,199.39 and 9,578.04 is: 13,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.81 : 24,199.39 = 9,578.04 : x
  2. Step 2: Convert to fraction form
    17,535.81/24,199.39 = 9,578.04/x
  3. Step 3: Cross multiply
    17,535.81x = 24,199.39 × 9,578.04
  4. Step 4: Simplify right side
    17,535.81x = 231,782,646.62
  5. Step 5: Solve for x
    x = 231,782,646.62/17,535.81
  6. Step 6: Final answer
    x = 13,217.67

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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.