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Finding the Fourth Proportional to 24,198.95, 36,303.60 and 8,404.47

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Solution

The fourth proportional to 24,198.95, 36,303.60 and 8,404.47 is: 12,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.95 : 36,303.60 = 8,404.47 : x
  2. Step 2: Convert to fraction form
    24,198.95/36,303.60 = 8,404.47/x
  3. Step 3: Cross multiply
    24,198.95x = 36,303.60 × 8,404.47
  4. Step 4: Simplify right side
    24,198.95x = 305,112,517.09
  5. Step 5: Solve for x
    x = 305,112,517.09/24,198.95
  6. Step 6: Final answer
    x = 12,608.50

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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.