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Finding the Fourth Proportional to 24,174.20, 36,267.70 and 8,590.20

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Solution

The fourth proportional to 24,174.20, 36,267.70 and 8,590.20 is: 12,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.20 : 36,267.70 = 8,590.20 : x
  2. Step 2: Convert to fraction form
    24,174.20/36,267.70 = 8,590.20/x
  3. Step 3: Cross multiply
    24,174.20x = 36,267.70 × 8,590.20
  4. Step 4: Simplify right side
    24,174.20x = 311,546,796.54
  5. Step 5: Solve for x
    x = 311,546,796.54/24,174.20
  6. Step 6: Final answer
    x = 12,887.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.