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Finding the Fourth Proportional to 27,296.95, 40,944.96 and 12,295.73

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Solution

The fourth proportional to 27,296.95, 40,944.96 and 12,295.73 is: 18,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.95 : 40,944.96 = 12,295.73 : x
  2. Step 2: Convert to fraction form
    27,296.95/40,944.96 = 12,295.73/x
  3. Step 3: Cross multiply
    27,296.95x = 40,944.96 × 12,295.73
  4. Step 4: Simplify right side
    27,296.95x = 503,448,173.02
  5. Step 5: Solve for x
    x = 503,448,173.02/27,296.95
  6. Step 6: Final answer
    x = 18,443.39

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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.