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Finding the Fourth Proportional to 21,672.14, 29,921.90 and 14,511.24

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Solution

The fourth proportional to 21,672.14, 29,921.90 and 14,511.24 is: 20,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.14 : 29,921.90 = 14,511.24 : x
  2. Step 2: Convert to fraction form
    21,672.14/29,921.90 = 14,511.24/x
  3. Step 3: Cross multiply
    21,672.14x = 29,921.90 × 14,511.24
  4. Step 4: Simplify right side
    21,672.14x = 434,203,799.60
  5. Step 5: Solve for x
    x = 434,203,799.60/21,672.14
  6. Step 6: Final answer
    x = 20,035.12

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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.