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Finding the Fourth Proportional to 17,282.48, 23,847.96 and 9,728.70

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Solution

The fourth proportional to 17,282.48, 23,847.96 and 9,728.70 is: 13,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.48 : 23,847.96 = 9,728.70 : x
  2. Step 2: Convert to fraction form
    17,282.48/23,847.96 = 9,728.70/x
  3. Step 3: Cross multiply
    17,282.48x = 23,847.96 × 9,728.70
  4. Step 4: Simplify right side
    17,282.48x = 232,009,648.45
  5. Step 5: Solve for x
    x = 232,009,648.45/17,282.48
  6. Step 6: Final answer
    x = 13,424.56

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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.