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Finding the Fourth Proportional to 19,642.31, 29,463.47 and 16,172.27

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Solution

The fourth proportional to 19,642.31, 29,463.47 and 16,172.27 is: 24,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.31 : 29,463.47 = 16,172.27 : x
  2. Step 2: Convert to fraction form
    19,642.31/29,463.47 = 16,172.27/x
  3. Step 3: Cross multiply
    19,642.31x = 29,463.47 × 16,172.27
  4. Step 4: Simplify right side
    19,642.31x = 476,491,191.98
  5. Step 5: Solve for x
    x = 476,491,191.98/19,642.31
  6. Step 6: Final answer
    x = 24,258.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.