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Finding the Fourth Proportional to 21,633.26, 29,853.94 and 11,697.26

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Solution

The fourth proportional to 21,633.26, 29,853.94 and 11,697.26 is: 16,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.26 : 29,853.94 = 11,697.26 : x
  2. Step 2: Convert to fraction form
    21,633.26/29,853.94 = 11,697.26/x
  3. Step 3: Cross multiply
    21,633.26x = 29,853.94 × 11,697.26
  4. Step 4: Simplify right side
    21,633.26x = 349,209,298.20
  5. Step 5: Solve for x
    x = 349,209,298.20/21,633.26
  6. Step 6: Final answer
    x = 16,142.24

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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.