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Finding the Fourth Proportional to 16,683.70, 23,025.08 and 9,969.19

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Solution

The fourth proportional to 16,683.70, 23,025.08 and 9,969.19 is: 13,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.70 : 23,025.08 = 9,969.19 : x
  2. Step 2: Convert to fraction form
    16,683.70/23,025.08 = 9,969.19/x
  3. Step 3: Cross multiply
    16,683.70x = 23,025.08 × 9,969.19
  4. Step 4: Simplify right side
    16,683.70x = 229,541,282.16
  5. Step 5: Solve for x
    x = 229,541,282.16/16,683.70
  6. Step 6: Final answer
    x = 13,758.42

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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.