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Finding the Fourth Proportional to 11,683.61, 17,441.26 and 10,853.24

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Solution

The fourth proportional to 11,683.61, 17,441.26 and 10,853.24 is: 16,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.61 : 17,441.26 = 10,853.24 : x
  2. Step 2: Convert to fraction form
    11,683.61/17,441.26 = 10,853.24/x
  3. Step 3: Cross multiply
    11,683.61x = 17,441.26 × 10,853.24
  4. Step 4: Simplify right side
    11,683.61x = 189,294,164.45
  5. Step 5: Solve for x
    x = 189,294,164.45/11,683.61
  6. Step 6: Final answer
    x = 16,201.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.