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Finding the Fourth Proportional to 13,661.85, 18,853.42 and 7,693.62

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Solution

The fourth proportional to 13,661.85, 18,853.42 and 7,693.62 is: 10,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.85 : 18,853.42 = 7,693.62 : x
  2. Step 2: Convert to fraction form
    13,661.85/18,853.42 = 7,693.62/x
  3. Step 3: Cross multiply
    13,661.85x = 18,853.42 × 7,693.62
  4. Step 4: Simplify right side
    13,661.85x = 145,051,049.18
  5. Step 5: Solve for x
    x = 145,051,049.18/13,661.85
  6. Step 6: Final answer
    x = 10,617.23

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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.