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Finding the Fourth Proportional to 17,842.87, 24,621.13 and 9,883.07

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Solution

The fourth proportional to 17,842.87, 24,621.13 and 9,883.07 is: 13,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.87 : 24,621.13 = 9,883.07 : x
  2. Step 2: Convert to fraction form
    17,842.87/24,621.13 = 9,883.07/x
  3. Step 3: Cross multiply
    17,842.87x = 24,621.13 × 9,883.07
  4. Step 4: Simplify right side
    17,842.87x = 243,332,351.27
  5. Step 5: Solve for x
    x = 243,332,351.27/17,842.87
  6. Step 6: Final answer
    x = 13,637.51

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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.