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Finding the Fourth Proportional to 14,217.50, 21,326.25 and 3,829.25

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Solution

The fourth proportional to 14,217.50, 21,326.25 and 3,829.25 is: 5,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.50 : 21,326.25 = 3,829.25 : x
  2. Step 2: Convert to fraction form
    14,217.50/21,326.25 = 3,829.25/x
  3. Step 3: Cross multiply
    14,217.50x = 21,326.25 × 3,829.25
  4. Step 4: Simplify right side
    14,217.50x = 81,663,542.81
  5. Step 5: Solve for x
    x = 81,663,542.81/14,217.50
  6. Step 6: Final answer
    x = 5,743.88

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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.