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Finding the Fourth Proportional to 24,174.99, 36,219.57 and 10,104

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Solution

The fourth proportional to 24,174.99, 36,219.57 and 10,104 is: 15,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.99 : 36,219.57 = 10,104 : x
  2. Step 2: Convert to fraction form
    24,174.99/36,219.57 = 10,104/x
  3. Step 3: Cross multiply
    24,174.99x = 36,219.57 × 10,104
  4. Step 4: Simplify right side
    24,174.99x = 365,962,535.28
  5. Step 5: Solve for x
    x = 365,962,535.28/24,174.99
  6. Step 6: Final answer
    x = 15,138.06

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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.