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Finding the Fourth Proportional to 16,471.83, 22,712.31 and 13,114.78

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Solution

The fourth proportional to 16,471.83, 22,712.31 and 13,114.78 is: 18,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.83 : 22,712.31 = 13,114.78 : x
  2. Step 2: Convert to fraction form
    16,471.83/22,712.31 = 13,114.78/x
  3. Step 3: Cross multiply
    16,471.83x = 22,712.31 × 13,114.78
  4. Step 4: Simplify right side
    16,471.83x = 297,866,948.94
  5. Step 5: Solve for x
    x = 297,866,948.94/16,471.83
  6. Step 6: Final answer
    x = 18,083.42

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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.