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Finding the Fourth Proportional to 21,136.92, 31,655.05 and 12,233.50

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Solution

The fourth proportional to 21,136.92, 31,655.05 and 12,233.50 is: 18,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.92 : 31,655.05 = 12,233.50 : x
  2. Step 2: Convert to fraction form
    21,136.92/31,655.05 = 12,233.50/x
  3. Step 3: Cross multiply
    21,136.92x = 31,655.05 × 12,233.50
  4. Step 4: Simplify right side
    21,136.92x = 387,251,944.45
  5. Step 5: Solve for x
    x = 387,251,944.45/21,136.92
  6. Step 6: Final answer
    x = 18,321.12

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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.