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Finding the Fourth Proportional to 21,762.20, 30,031.31 and 12,202.56

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Solution

The fourth proportional to 21,762.20, 30,031.31 and 12,202.56 is: 16,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.20 : 30,031.31 = 12,202.56 : x
  2. Step 2: Convert to fraction form
    21,762.20/30,031.31 = 12,202.56/x
  3. Step 3: Cross multiply
    21,762.20x = 30,031.31 × 12,202.56
  4. Step 4: Simplify right side
    21,762.20x = 366,458,801.14
  5. Step 5: Solve for x
    x = 366,458,801.14/21,762.20
  6. Step 6: Final answer
    x = 16,839.24

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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.