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Finding the Fourth Proportional to 17,640.09, 24,343.47 and 9,683.19

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Solution

The fourth proportional to 17,640.09, 24,343.47 and 9,683.19 is: 13,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.09 : 24,343.47 = 9,683.19 : x
  2. Step 2: Convert to fraction form
    17,640.09/24,343.47 = 9,683.19/x
  3. Step 3: Cross multiply
    17,640.09x = 24,343.47 × 9,683.19
  4. Step 4: Simplify right side
    17,640.09x = 235,722,445.27
  5. Step 5: Solve for x
    x = 235,722,445.27/17,640.09
  6. Step 6: Final answer
    x = 13,362.88

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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.