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Finding the Fourth Proportional to 10,233.95, 15,334.52 and 9,249.80

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Solution

The fourth proportional to 10,233.95, 15,334.52 and 9,249.80 is: 13,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.95 : 15,334.52 = 9,249.80 : x
  2. Step 2: Convert to fraction form
    10,233.95/15,334.52 = 9,249.80/x
  3. Step 3: Cross multiply
    10,233.95x = 15,334.52 × 9,249.80
  4. Step 4: Simplify right side
    10,233.95x = 141,841,120.17
  5. Step 5: Solve for x
    x = 141,841,120.17/10,233.95
  6. Step 6: Final answer
    x = 13,859.87

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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.