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Finding the Fourth Proportional to 10,224.98, 15,337.45 and 2,829.42

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Solution

The fourth proportional to 10,224.98, 15,337.45 and 2,829.42 is: 4,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.98 : 15,337.45 = 2,829.42 : x
  2. Step 2: Convert to fraction form
    10,224.98/15,337.45 = 2,829.42/x
  3. Step 3: Cross multiply
    10,224.98x = 15,337.45 × 2,829.42
  4. Step 4: Simplify right side
    10,224.98x = 43,396,004.02
  5. Step 5: Solve for x
    x = 43,396,004.02/10,224.98
  6. Step 6: Final answer
    x = 4,244.12

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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.