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Finding the Fourth Proportional to 24,577.05, 36,865.60 and 6,109.05

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Solution

The fourth proportional to 24,577.05, 36,865.60 and 6,109.05 is: 9,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.05 : 36,865.60 = 6,109.05 : x
  2. Step 2: Convert to fraction form
    24,577.05/36,865.60 = 6,109.05/x
  3. Step 3: Cross multiply
    24,577.05x = 36,865.60 × 6,109.05
  4. Step 4: Simplify right side
    24,577.05x = 225,213,793.68
  5. Step 5: Solve for x
    x = 225,213,793.68/24,577.05
  6. Step 6: Final answer
    x = 9,163.58

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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.