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Finding the Fourth Proportional to 24,435.57, 36,655.41 and 7,797.96

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Solution

The fourth proportional to 24,435.57, 36,655.41 and 7,797.96 is: 11,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.57 : 36,655.41 = 7,797.96 : x
  2. Step 2: Convert to fraction form
    24,435.57/36,655.41 = 7,797.96/x
  3. Step 3: Cross multiply
    24,435.57x = 36,655.41 × 7,797.96
  4. Step 4: Simplify right side
    24,435.57x = 285,837,420.96
  5. Step 5: Solve for x
    x = 285,837,420.96/24,435.57
  6. Step 6: Final answer
    x = 11,697.60

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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.