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Finding the Fourth Proportional to 16,684.77, 23,024.31 and 9,974.10

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Solution

The fourth proportional to 16,684.77, 23,024.31 and 9,974.10 is: 13,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.77 : 23,024.31 = 9,974.10 : x
  2. Step 2: Convert to fraction form
    16,684.77/23,024.31 = 9,974.10/x
  3. Step 3: Cross multiply
    16,684.77x = 23,024.31 × 9,974.10
  4. Step 4: Simplify right side
    16,684.77x = 229,646,770.37
  5. Step 5: Solve for x
    x = 229,646,770.37/16,684.77
  6. Step 6: Final answer
    x = 13,763.86

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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.