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Finding the Fourth Proportional to 17,282.20, 23,849.89 and 9,728.80

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Solution

The fourth proportional to 17,282.20, 23,849.89 and 9,728.80 is: 13,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.20 : 23,849.89 = 9,728.80 : x
  2. Step 2: Convert to fraction form
    17,282.20/23,849.89 = 9,728.80/x
  3. Step 3: Cross multiply
    17,282.20x = 23,849.89 × 9,728.80
  4. Step 4: Simplify right side
    17,282.20x = 232,030,809.83
  5. Step 5: Solve for x
    x = 232,030,809.83/17,282.20
  6. Step 6: Final answer
    x = 13,426.00

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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.