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Finding the Fourth Proportional to 24,517.46, 36,768.63 and 12,824.30

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Solution

The fourth proportional to 24,517.46, 36,768.63 and 12,824.30 is: 19,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.46 : 36,768.63 = 12,824.30 : x
  2. Step 2: Convert to fraction form
    24,517.46/36,768.63 = 12,824.30/x
  3. Step 3: Cross multiply
    24,517.46x = 36,768.63 × 12,824.30
  4. Step 4: Simplify right side
    24,517.46x = 471,531,941.71
  5. Step 5: Solve for x
    x = 471,531,941.71/24,517.46
  6. Step 6: Final answer
    x = 19,232.50

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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.