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Finding the Fourth Proportional to 17,542.35, 26,323.90 and 6,456.83

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Solution

The fourth proportional to 17,542.35, 26,323.90 and 6,456.83 is: 9,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.35 : 26,323.90 = 6,456.83 : x
  2. Step 2: Convert to fraction form
    17,542.35/26,323.90 = 6,456.83/x
  3. Step 3: Cross multiply
    17,542.35x = 26,323.90 × 6,456.83
  4. Step 4: Simplify right side
    17,542.35x = 169,968,799.48
  5. Step 5: Solve for x
    x = 169,968,799.48/17,542.35
  6. Step 6: Final answer
    x = 9,689.06

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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.