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Finding the Fourth Proportional to 21,243.50, 31,865.30 and 6,452.52

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Solution

The fourth proportional to 21,243.50, 31,865.30 and 6,452.52 is: 9,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.50 : 31,865.30 = 6,452.52 : x
  2. Step 2: Convert to fraction form
    21,243.50/31,865.30 = 6,452.52/x
  3. Step 3: Cross multiply
    21,243.50x = 31,865.30 × 6,452.52
  4. Step 4: Simplify right side
    21,243.50x = 205,611,453.29
  5. Step 5: Solve for x
    x = 205,611,453.29/21,243.50
  6. Step 6: Final answer
    x = 9,678.80

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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.