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Finding the Fourth Proportional to 17,870.28, 24,662.34 and 9,912.44

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Solution

The fourth proportional to 17,870.28, 24,662.34 and 9,912.44 is: 13,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.28 : 24,662.34 = 9,912.44 : x
  2. Step 2: Convert to fraction form
    17,870.28/24,662.34 = 9,912.44/x
  3. Step 3: Cross multiply
    17,870.28x = 24,662.34 × 9,912.44
  4. Step 4: Simplify right side
    17,870.28x = 244,463,965.51
  5. Step 5: Solve for x
    x = 244,463,965.51/17,870.28
  6. Step 6: Final answer
    x = 13,679.92

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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.