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Finding the Fourth Proportional to 21,024.97, 31,543.53 and 6,234.22

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Solution

The fourth proportional to 21,024.97, 31,543.53 and 6,234.22 is: 9,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024.97 : 31,543.53 = 6,234.22 : x
  2. Step 2: Convert to fraction form
    21,024.97/31,543.53 = 6,234.22/x
  3. Step 3: Cross multiply
    21,024.97x = 31,543.53 × 6,234.22
  4. Step 4: Simplify right side
    21,024.97x = 196,649,305.60
  5. Step 5: Solve for x
    x = 196,649,305.60/21,024.97
  6. Step 6: Final answer
    x = 9,353.13

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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.