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Finding the Fourth Proportional to 10,224.75, 15,253.99 and 9,269.83

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Solution

The fourth proportional to 10,224.75, 15,253.99 and 9,269.83 is: 13,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.75 : 15,253.99 = 9,269.83 : x
  2. Step 2: Convert to fraction form
    10,224.75/15,253.99 = 9,269.83/x
  3. Step 3: Cross multiply
    10,224.75x = 15,253.99 × 9,269.83
  4. Step 4: Simplify right side
    10,224.75x = 141,401,894.12
  5. Step 5: Solve for x
    x = 141,401,894.12/10,224.75
  6. Step 6: Final answer
    x = 13,829.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.