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Finding the Fourth Proportional to 23,697.43, 32,702.37 and 13,086.97

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Solution

The fourth proportional to 23,697.43, 32,702.37 and 13,086.97 is: 18,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.43 : 32,702.37 = 13,086.97 : x
  2. Step 2: Convert to fraction form
    23,697.43/32,702.37 = 13,086.97/x
  3. Step 3: Cross multiply
    23,697.43x = 32,702.37 × 13,086.97
  4. Step 4: Simplify right side
    23,697.43x = 427,974,804.29
  5. Step 5: Solve for x
    x = 427,974,804.29/23,697.43
  6. Step 6: Final answer
    x = 18,059.97

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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.