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Finding the Fourth Proportional to 24,643.85, 36,968.85 and 9,649.04

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Solution

The fourth proportional to 24,643.85, 36,968.85 and 9,649.04 is: 14,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.85 : 36,968.85 = 9,649.04 : x
  2. Step 2: Convert to fraction form
    24,643.85/36,968.85 = 9,649.04/x
  3. Step 3: Cross multiply
    24,643.85x = 36,968.85 × 9,649.04
  4. Step 4: Simplify right side
    24,643.85x = 356,713,727.56
  5. Step 5: Solve for x
    x = 356,713,727.56/24,643.85
  6. Step 6: Final answer
    x = 14,474.76

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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.