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Finding the Fourth Proportional to 24,496.30, 36,744.21 and 6,963.82

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Solution

The fourth proportional to 24,496.30, 36,744.21 and 6,963.82 is: 10,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496.30 : 36,744.21 = 6,963.82 : x
  2. Step 2: Convert to fraction form
    24,496.30/36,744.21 = 6,963.82/x
  3. Step 3: Cross multiply
    24,496.30x = 36,744.21 × 6,963.82
  4. Step 4: Simplify right side
    24,496.30x = 255,880,064.48
  5. Step 5: Solve for x
    x = 255,880,064.48/24,496.30
  6. Step 6: Final answer
    x = 10,445.66

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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.