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Finding the Fourth Proportional to 21,491.14, 29,650.17 and 14,043.46

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Solution

The fourth proportional to 21,491.14, 29,650.17 and 14,043.46 is: 19,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.14 : 29,650.17 = 14,043.46 : x
  2. Step 2: Convert to fraction form
    21,491.14/29,650.17 = 14,043.46/x
  3. Step 3: Cross multiply
    21,491.14x = 29,650.17 × 14,043.46
  4. Step 4: Simplify right side
    21,491.14x = 416,390,976.39
  5. Step 5: Solve for x
    x = 416,390,976.39/21,491.14
  6. Step 6: Final answer
    x = 19,375.01

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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.