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Finding the Fourth Proportional to 21,234.69, 31,844.75 and 8,090.82

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Solution

The fourth proportional to 21,234.69, 31,844.75 and 8,090.82 is: 12,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.69 : 31,844.75 = 8,090.82 : x
  2. Step 2: Convert to fraction form
    21,234.69/31,844.75 = 8,090.82/x
  3. Step 3: Cross multiply
    21,234.69x = 31,844.75 × 8,090.82
  4. Step 4: Simplify right side
    21,234.69x = 257,650,099.74
  5. Step 5: Solve for x
    x = 257,650,099.74/21,234.69
  6. Step 6: Final answer
    x = 12,133.45

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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.