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Finding the Fourth Proportional to 16,683.17, 23,027.90 and 9,614.30

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Solution

The fourth proportional to 16,683.17, 23,027.90 and 9,614.30 is: 13,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.17 : 23,027.90 = 9,614.30 : x
  2. Step 2: Convert to fraction form
    16,683.17/23,027.90 = 9,614.30/x
  3. Step 3: Cross multiply
    16,683.17x = 23,027.90 × 9,614.30
  4. Step 4: Simplify right side
    16,683.17x = 221,396,975.76
  5. Step 5: Solve for x
    x = 221,396,975.76/16,683.17
  6. Step 6: Final answer
    x = 13,270.68

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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.