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Finding the Fourth Proportional to 21,203.78, 31,809.34 and 7,163.91

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Solution

The fourth proportional to 21,203.78, 31,809.34 and 7,163.91 is: 10,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.78 : 31,809.34 = 7,163.91 : x
  2. Step 2: Convert to fraction form
    21,203.78/31,809.34 = 7,163.91/x
  3. Step 3: Cross multiply
    21,203.78x = 31,809.34 × 7,163.91
  4. Step 4: Simplify right side
    21,203.78x = 227,879,248.92
  5. Step 5: Solve for x
    x = 227,879,248.92/21,203.78
  6. Step 6: Final answer
    x = 10,747.10

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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.