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Finding the Fourth Proportional to 17,842.24, 24,618.80 and 10,388.80

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Solution

The fourth proportional to 17,842.24, 24,618.80 and 10,388.80 is: 14,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.24 : 24,618.80 = 10,388.80 : x
  2. Step 2: Convert to fraction form
    17,842.24/24,618.80 = 10,388.80/x
  3. Step 3: Cross multiply
    17,842.24x = 24,618.80 × 10,388.80
  4. Step 4: Simplify right side
    17,842.24x = 255,759,789.44
  5. Step 5: Solve for x
    x = 255,759,789.44/17,842.24
  6. Step 6: Final answer
    x = 14,334.51

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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.