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Finding the Fourth Proportional to 11,673.64, 16,060.26 and 10,174.12

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Solution

The fourth proportional to 11,673.64, 16,060.26 and 10,174.12 is: 13,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.64 : 16,060.26 = 10,174.12 : x
  2. Step 2: Convert to fraction form
    11,673.64/16,060.26 = 10,174.12/x
  3. Step 3: Cross multiply
    11,673.64x = 16,060.26 × 10,174.12
  4. Step 4: Simplify right side
    11,673.64x = 163,399,012.47
  5. Step 5: Solve for x
    x = 163,399,012.47/11,673.64
  6. Step 6: Final answer
    x = 13,997.26

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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.