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Finding the Fourth Proportional to 23,039.40, 34,550.46 and 9,885

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Solution

The fourth proportional to 23,039.40, 34,550.46 and 9,885 is: 14,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,039.40 : 34,550.46 = 9,885 : x
  2. Step 2: Convert to fraction form
    23,039.40/34,550.46 = 9,885/x
  3. Step 3: Cross multiply
    23,039.40x = 34,550.46 × 9,885
  4. Step 4: Simplify right side
    23,039.40x = 341,531,297.10
  5. Step 5: Solve for x
    x = 341,531,297.10/23,039.40
  6. Step 6: Final answer
    x = 14,823.79

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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.