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Finding the Fourth Proportional to 13,662.11, 18,853.76 and 7,693.87

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Solution

The fourth proportional to 13,662.11, 18,853.76 and 7,693.87 is: 10,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.11 : 18,853.76 = 7,693.87 : x
  2. Step 2: Convert to fraction form
    13,662.11/18,853.76 = 7,693.87/x
  3. Step 3: Cross multiply
    13,662.11x = 18,853.76 × 7,693.87
  4. Step 4: Simplify right side
    13,662.11x = 145,058,465.44
  5. Step 5: Solve for x
    x = 145,058,465.44/13,662.11
  6. Step 6: Final answer
    x = 10,617.58

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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.