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Finding the Fourth Proportional to 17,724.10, 26,584.74 and 7,728.60

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Solution

The fourth proportional to 17,724.10, 26,584.74 and 7,728.60 is: 11,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.10 : 26,584.74 = 7,728.60 : x
  2. Step 2: Convert to fraction form
    17,724.10/26,584.74 = 7,728.60/x
  3. Step 3: Cross multiply
    17,724.10x = 26,584.74 × 7,728.60
  4. Step 4: Simplify right side
    17,724.10x = 205,462,821.56
  5. Step 5: Solve for x
    x = 205,462,821.56/17,724.10
  6. Step 6: Final answer
    x = 11,592.29

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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.