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Finding the Fourth Proportional to 16,684.80, 23,022.75 and 9,969.00

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Solution

The fourth proportional to 16,684.80, 23,022.75 and 9,969.00 is: 13,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.80 : 23,022.75 = 9,969.00 : x
  2. Step 2: Convert to fraction form
    16,684.80/23,022.75 = 9,969.00/x
  3. Step 3: Cross multiply
    16,684.80x = 23,022.75 × 9,969.00
  4. Step 4: Simplify right side
    16,684.80x = 229,513,819.23
  5. Step 5: Solve for x
    x = 229,513,819.23/16,684.80
  6. Step 6: Final answer
    x = 13,755.87

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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.