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Finding the Fourth Proportional to 21,233.88, 31,850.82 and 6,442.88

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Solution

The fourth proportional to 21,233.88, 31,850.82 and 6,442.88 is: 9,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.88 : 31,850.82 = 6,442.88 : x
  2. Step 2: Convert to fraction form
    21,233.88/31,850.82 = 6,442.88/x
  3. Step 3: Cross multiply
    21,233.88x = 31,850.82 × 6,442.88
  4. Step 4: Simplify right side
    21,233.88x = 205,210,851.91
  5. Step 5: Solve for x
    x = 205,210,851.91/21,233.88
  6. Step 6: Final answer
    x = 9,664.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.