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Finding the Fourth Proportional to 21,234.68, 31,851.48 and 10,149.20

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Solution

The fourth proportional to 21,234.68, 31,851.48 and 10,149.20 is: 15,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.68 : 31,851.48 = 10,149.20 : x
  2. Step 2: Convert to fraction form
    21,234.68/31,851.48 = 10,149.20/x
  3. Step 3: Cross multiply
    21,234.68x = 31,851.48 × 10,149.20
  4. Step 4: Simplify right side
    21,234.68x = 323,267,040.82
  5. Step 5: Solve for x
    x = 323,267,040.82/21,234.68
  6. Step 6: Final answer
    x = 15,223.54

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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.