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Finding the Fourth Proportional to 10,224.54, 15,336.27 and 2,829.24

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Solution

The fourth proportional to 10,224.54, 15,336.27 and 2,829.24 is: 4,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.54 : 15,336.27 = 2,829.24 : x
  2. Step 2: Convert to fraction form
    10,224.54/15,336.27 = 2,829.24/x
  3. Step 3: Cross multiply
    10,224.54x = 15,336.27 × 2,829.24
  4. Step 4: Simplify right side
    10,224.54x = 43,389,988.53
  5. Step 5: Solve for x
    x = 43,389,988.53/10,224.54
  6. Step 6: Final answer
    x = 4,243.71

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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.