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Finding the Fourth Proportional to 14,452.26, 21,660.64 and 8,217.50

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Solution

The fourth proportional to 14,452.26, 21,660.64 and 8,217.50 is: 12,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.26 : 21,660.64 = 8,217.50 : x
  2. Step 2: Convert to fraction form
    14,452.26/21,660.64 = 8,217.50/x
  3. Step 3: Cross multiply
    14,452.26x = 21,660.64 × 8,217.50
  4. Step 4: Simplify right side
    14,452.26x = 177,996,309.20
  5. Step 5: Solve for x
    x = 177,996,309.20/14,452.26
  6. Step 6: Final answer
    x = 12,316.16

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Why These Related Problems?

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