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Finding the Fourth Proportional to 20,632.66, 30,951.04 and 7,486.06

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Solution

The fourth proportional to 20,632.66, 30,951.04 and 7,486.06 is: 11,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.66 : 30,951.04 = 7,486.06 : x
  2. Step 2: Convert to fraction form
    20,632.66/30,951.04 = 7,486.06/x
  3. Step 3: Cross multiply
    20,632.66x = 30,951.04 × 7,486.06
  4. Step 4: Simplify right side
    20,632.66x = 231,701,342.50
  5. Step 5: Solve for x
    x = 231,701,342.50/20,632.66
  6. Step 6: Final answer
    x = 11,229.83

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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.