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Finding the Fourth Proportional to 24,435.31, 36,655.03 and 7,797.71

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Solution

The fourth proportional to 24,435.31, 36,655.03 and 7,797.71 is: 11,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.31 : 36,655.03 = 7,797.71 : x
  2. Step 2: Convert to fraction form
    24,435.31/36,655.03 = 7,797.71/x
  3. Step 3: Cross multiply
    24,435.31x = 36,655.03 × 7,797.71
  4. Step 4: Simplify right side
    24,435.31x = 285,825,293.98
  5. Step 5: Solve for x
    x = 285,825,293.98/24,435.31
  6. Step 6: Final answer
    x = 11,697.22

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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.