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Finding the Fourth Proportional to 24,286.80, 36,426 and 6,756.72

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Solution

The fourth proportional to 24,286.80, 36,426 and 6,756.72 is: 10,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.80 : 36,426 = 6,756.72 : x
  2. Step 2: Convert to fraction form
    24,286.80/36,426 = 6,756.72/x
  3. Step 3: Cross multiply
    24,286.80x = 36,426 × 6,756.72
  4. Step 4: Simplify right side
    24,286.80x = 246,120,282.72
  5. Step 5: Solve for x
    x = 246,120,282.72/24,286.80
  6. Step 6: Final answer
    x = 10,133.91

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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.