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Finding the Fourth Proportional to 19,923.09, 29,844.57 and 9,234.48

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Solution

The fourth proportional to 19,923.09, 29,844.57 and 9,234.48 is: 13,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.09 : 29,844.57 = 9,234.48 : x
  2. Step 2: Convert to fraction form
    19,923.09/29,844.57 = 9,234.48/x
  3. Step 3: Cross multiply
    19,923.09x = 29,844.57 × 9,234.48
  4. Step 4: Simplify right side
    19,923.09x = 275,599,084.77
  5. Step 5: Solve for x
    x = 275,599,084.77/19,923.09
  6. Step 6: Final answer
    x = 13,833.15

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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.