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Finding the Fourth Proportional to 16,684.99, 23,023.01 and 9,969.19

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Solution

The fourth proportional to 16,684.99, 23,023.01 and 9,969.19 is: 13,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.99 : 23,023.01 = 9,969.19 : x
  2. Step 2: Convert to fraction form
    16,684.99/23,023.01 = 9,969.19/x
  3. Step 3: Cross multiply
    16,684.99x = 23,023.01 × 9,969.19
  4. Step 4: Simplify right side
    16,684.99x = 229,520,653.66
  5. Step 5: Solve for x
    x = 229,520,653.66/16,684.99
  6. Step 6: Final answer
    x = 13,756.12

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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.