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Finding the Fourth Proportional to 21,136.32, 31,693.14 and 20,227.50

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Solution

The fourth proportional to 21,136.32, 31,693.14 and 20,227.50 is: 30,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.32 : 31,693.14 = 20,227.50 : x
  2. Step 2: Convert to fraction form
    21,136.32/31,693.14 = 20,227.50/x
  3. Step 3: Cross multiply
    21,136.32x = 31,693.14 × 20,227.50
  4. Step 4: Simplify right side
    21,136.32x = 641,072,989.35
  5. Step 5: Solve for x
    x = 641,072,989.35/21,136.32
  6. Step 6: Final answer
    x = 30,330.40

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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.