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Finding the Fourth Proportional to 21,356.96, 29,472.14 and 11,796.26

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Solution

The fourth proportional to 21,356.96, 29,472.14 and 11,796.26 is: 16,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.96 : 29,472.14 = 11,796.26 : x
  2. Step 2: Convert to fraction form
    21,356.96/29,472.14 = 11,796.26/x
  3. Step 3: Cross multiply
    21,356.96x = 29,472.14 × 11,796.26
  4. Step 4: Simplify right side
    21,356.96x = 347,661,026.20
  5. Step 5: Solve for x
    x = 347,661,026.20/21,356.96
  6. Step 6: Final answer
    x = 16,278.58

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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.