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Finding the Fourth Proportional to 17,638.56, 26,440.94 and 6,542.28

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Solution

The fourth proportional to 17,638.56, 26,440.94 and 6,542.28 is: 9,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.56 : 26,440.94 = 6,542.28 : x
  2. Step 2: Convert to fraction form
    17,638.56/26,440.94 = 6,542.28/x
  3. Step 3: Cross multiply
    17,638.56x = 26,440.94 × 6,542.28
  4. Step 4: Simplify right side
    17,638.56x = 172,984,032.94
  5. Step 5: Solve for x
    x = 172,984,032.94/17,638.56
  6. Step 6: Final answer
    x = 9,807.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.