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Finding the Fourth Proportional to 17,783.62, 24,539.97 and 10,229.56

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Solution

The fourth proportional to 17,783.62, 24,539.97 and 10,229.56 is: 14,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.62 : 24,539.97 = 10,229.56 : x
  2. Step 2: Convert to fraction form
    17,783.62/24,539.97 = 10,229.56/x
  3. Step 3: Cross multiply
    17,783.62x = 24,539.97 × 10,229.56
  4. Step 4: Simplify right side
    17,783.62x = 251,033,095.51
  5. Step 5: Solve for x
    x = 251,033,095.51/17,783.62
  6. Step 6: Final answer
    x = 14,115.97

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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.