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Finding the Fourth Proportional to 26,149.50, 39,241.53 and 12,299.58

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Solution

The fourth proportional to 26,149.50, 39,241.53 and 12,299.58 is: 18,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.50 : 39,241.53 = 12,299.58 : x
  2. Step 2: Convert to fraction form
    26,149.50/39,241.53 = 12,299.58/x
  3. Step 3: Cross multiply
    26,149.50x = 39,241.53 × 12,299.58
  4. Step 4: Simplify right side
    26,149.50x = 482,654,337.56
  5. Step 5: Solve for x
    x = 482,654,337.56/26,149.50
  6. Step 6: Final answer
    x = 18,457.50

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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.