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Finding the Fourth Proportional to 17,297.70, 23,871.45 and 9,641.66

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Solution

The fourth proportional to 17,297.70, 23,871.45 and 9,641.66 is: 13,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,297.70 : 23,871.45 = 9,641.66 : x
  2. Step 2: Convert to fraction form
    17,297.70/23,871.45 = 9,641.66/x
  3. Step 3: Cross multiply
    17,297.70x = 23,871.45 × 9,641.66
  4. Step 4: Simplify right side
    17,297.70x = 230,160,285.25
  5. Step 5: Solve for x
    x = 230,160,285.25/17,297.70
  6. Step 6: Final answer
    x = 13,305.83

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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.