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Finding the Fourth Proportional to 21,238.50, 31,854.16 and 6,443.85

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Solution

The fourth proportional to 21,238.50, 31,854.16 and 6,443.85 is: 9,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.50 : 31,854.16 = 6,443.85 : x
  2. Step 2: Convert to fraction form
    21,238.50/31,854.16 = 6,443.85/x
  3. Step 3: Cross multiply
    21,238.50x = 31,854.16 × 6,443.85
  4. Step 4: Simplify right side
    21,238.50x = 205,263,556.42
  5. Step 5: Solve for x
    x = 205,263,556.42/21,238.50
  6. Step 6: Final answer
    x = 9,664.69

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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.