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Finding the Fourth Proportional to 21,173.57, 31,760.04 and 5,163.17

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Solution

The fourth proportional to 21,173.57, 31,760.04 and 5,163.17 is: 7,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.57 : 31,760.04 = 5,163.17 : x
  2. Step 2: Convert to fraction form
    21,173.57/31,760.04 = 5,163.17/x
  3. Step 3: Cross multiply
    21,173.57x = 31,760.04 × 5,163.17
  4. Step 4: Simplify right side
    21,173.57x = 163,982,326.93
  5. Step 5: Solve for x
    x = 163,982,326.93/21,173.57
  6. Step 6: Final answer
    x = 7,744.67

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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.