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Finding the Fourth Proportional to 23,906.31, 32,981.90 and 14,471.43

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Solution

The fourth proportional to 23,906.31, 32,981.90 and 14,471.43 is: 19,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.31 : 32,981.90 = 14,471.43 : x
  2. Step 2: Convert to fraction form
    23,906.31/32,981.90 = 14,471.43/x
  3. Step 3: Cross multiply
    23,906.31x = 32,981.90 × 14,471.43
  4. Step 4: Simplify right side
    23,906.31x = 477,295,184.76
  5. Step 5: Solve for x
    x = 477,295,184.76/23,906.31
  6. Step 6: Final answer
    x = 19,965.24

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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.