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Finding the Fourth Proportional to 17,870.74, 24,662.43 and 9,912.49

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Solution

The fourth proportional to 17,870.74, 24,662.43 and 9,912.49 is: 13,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.74 : 24,662.43 = 9,912.49 : x
  2. Step 2: Convert to fraction form
    17,870.74/24,662.43 = 9,912.49/x
  3. Step 3: Cross multiply
    17,870.74x = 24,662.43 × 9,912.49
  4. Step 4: Simplify right side
    17,870.74x = 244,466,090.75
  5. Step 5: Solve for x
    x = 244,466,090.75/17,870.74
  6. Step 6: Final answer
    x = 13,679.68

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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.