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Finding the Fourth Proportional to 12,683.86, 17,504.82 and 7,378.31

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Solution

The fourth proportional to 12,683.86, 17,504.82 and 7,378.31 is: 10,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.86 : 17,504.82 = 7,378.31 : x
  2. Step 2: Convert to fraction form
    12,683.86/17,504.82 = 7,378.31/x
  3. Step 3: Cross multiply
    12,683.86x = 17,504.82 × 7,378.31
  4. Step 4: Simplify right side
    12,683.86x = 129,156,032.22
  5. Step 5: Solve for x
    x = 129,156,032.22/12,683.86
  6. Step 6: Final answer
    x = 10,182.71

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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.