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Finding the Fourth Proportional to 24,631.68, 36,953.36 and 7,991.74

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Solution

The fourth proportional to 24,631.68, 36,953.36 and 7,991.74 is: 11,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,631.68 : 36,953.36 = 7,991.74 : x
  2. Step 2: Convert to fraction form
    24,631.68/36,953.36 = 7,991.74/x
  3. Step 3: Cross multiply
    24,631.68x = 36,953.36 × 7,991.74
  4. Step 4: Simplify right side
    24,631.68x = 295,321,645.25
  5. Step 5: Solve for x
    x = 295,321,645.25/24,631.68
  6. Step 6: Final answer
    x = 11,989.50

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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.