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Finding the Fourth Proportional to 15,747.57, 21,724.07 and 9,786.24

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Solution

The fourth proportional to 15,747.57, 21,724.07 and 9,786.24 is: 13,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.57 : 21,724.07 = 9,786.24 : x
  2. Step 2: Convert to fraction form
    15,747.57/21,724.07 = 9,786.24/x
  3. Step 3: Cross multiply
    15,747.57x = 21,724.07 × 9,786.24
  4. Step 4: Simplify right side
    15,747.57x = 212,596,913.87
  5. Step 5: Solve for x
    x = 212,596,913.87/15,747.57
  6. Step 6: Final answer
    x = 13,500.30

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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.