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Finding the Fourth Proportional to 17,634.55, 26,434.96 and 6,538.27

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Solution

The fourth proportional to 17,634.55, 26,434.96 and 6,538.27 is: 9,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.55 : 26,434.96 = 6,538.27 : x
  2. Step 2: Convert to fraction form
    17,634.55/26,434.96 = 6,538.27/x
  3. Step 3: Cross multiply
    17,634.55x = 26,434.96 × 6,538.27
  4. Step 4: Simplify right side
    17,634.55x = 172,838,905.92
  5. Step 5: Solve for x
    x = 172,838,905.92/17,634.55
  6. Step 6: Final answer
    x = 9,801.15

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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.