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Finding the Fourth Proportional to 20,544.38, 30,798.07 and 7,387.50

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Solution

The fourth proportional to 20,544.38, 30,798.07 and 7,387.50 is: 11,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.38 : 30,798.07 = 7,387.50 : x
  2. Step 2: Convert to fraction form
    20,544.38/30,798.07 = 7,387.50/x
  3. Step 3: Cross multiply
    20,544.38x = 30,798.07 × 7,387.50
  4. Step 4: Simplify right side
    20,544.38x = 227,520,723.66
  5. Step 5: Solve for x
    x = 227,520,723.66/20,544.38
  6. Step 6: Final answer
    x = 11,074.60

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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.