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Finding the Fourth Proportional to 21,452.72, 32,199.66 and 8,969.40

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Solution

The fourth proportional to 21,452.72, 32,199.66 and 8,969.40 is: 13,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.72 : 32,199.66 = 8,969.40 : x
  2. Step 2: Convert to fraction form
    21,452.72/32,199.66 = 8,969.40/x
  3. Step 3: Cross multiply
    21,452.72x = 32,199.66 × 8,969.40
  4. Step 4: Simplify right side
    21,452.72x = 288,811,630.40
  5. Step 5: Solve for x
    x = 288,811,630.40/21,452.72
  6. Step 6: Final answer
    x = 13,462.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.