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Finding the Fourth Proportional to 17,724.70, 26,599.20 and 9,827.20

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Solution

The fourth proportional to 17,724.70, 26,599.20 and 9,827.20 is: 14,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.70 : 26,599.20 = 9,827.20 : x
  2. Step 2: Convert to fraction form
    17,724.70/26,599.20 = 9,827.20/x
  3. Step 3: Cross multiply
    17,724.70x = 26,599.20 × 9,827.20
  4. Step 4: Simplify right side
    17,724.70x = 261,395,658.24
  5. Step 5: Solve for x
    x = 261,395,658.24/17,724.70
  6. Step 6: Final answer
    x = 14,747.54

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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.