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Finding the Fourth Proportional to 26,406.50, 39,613.26 and 12,364.61

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Solution

The fourth proportional to 26,406.50, 39,613.26 and 12,364.61 is: 18,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406.50 : 39,613.26 = 12,364.61 : x
  2. Step 2: Convert to fraction form
    26,406.50/39,613.26 = 12,364.61/x
  3. Step 3: Cross multiply
    26,406.50x = 39,613.26 × 12,364.61
  4. Step 4: Simplify right side
    26,406.50x = 489,802,510.73
  5. Step 5: Solve for x
    x = 489,802,510.73/26,406.50
  6. Step 6: Final answer
    x = 18,548.56

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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.