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Finding the Fourth Proportional to 17,713.89, 24,443.36 and 10,906.83

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Solution

The fourth proportional to 17,713.89, 24,443.36 and 10,906.83 is: 15,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.89 : 24,443.36 = 10,906.83 : x
  2. Step 2: Convert to fraction form
    17,713.89/24,443.36 = 10,906.83/x
  3. Step 3: Cross multiply
    17,713.89x = 24,443.36 × 10,906.83
  4. Step 4: Simplify right side
    17,713.89x = 266,599,572.15
  5. Step 5: Solve for x
    x = 266,599,572.15/17,713.89
  6. Step 6: Final answer
    x = 15,050.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.