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Finding the Fourth Proportional to 24,293.76, 36,440.62 and 6,764.04

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Solution

The fourth proportional to 24,293.76, 36,440.62 and 6,764.04 is: 10,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,293.76 : 36,440.62 = 6,764.04 : x
  2. Step 2: Convert to fraction form
    24,293.76/36,440.62 = 6,764.04/x
  3. Step 3: Cross multiply
    24,293.76x = 36,440.62 × 6,764.04
  4. Step 4: Simplify right side
    24,293.76x = 246,485,811.30
  5. Step 5: Solve for x
    x = 246,485,811.30/24,293.76
  6. Step 6: Final answer
    x = 10,146.05

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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.