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Finding the Fourth Proportional to 24,174.57, 36,260.94 and 6,643.94

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Solution

The fourth proportional to 24,174.57, 36,260.94 and 6,643.94 is: 9,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.57 : 36,260.94 = 6,643.94 : x
  2. Step 2: Convert to fraction form
    24,174.57/36,260.94 = 6,643.94/x
  3. Step 3: Cross multiply
    24,174.57x = 36,260.94 × 6,643.94
  4. Step 4: Simplify right side
    24,174.57x = 240,915,509.70
  5. Step 5: Solve for x
    x = 240,915,509.70/24,174.57
  6. Step 6: Final answer
    x = 9,965.66

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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.