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Finding the Fourth Proportional to 20,551.91, 30,820.57 and 7,400.75

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Solution

The fourth proportional to 20,551.91, 30,820.57 and 7,400.75 is: 11,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.91 : 30,820.57 = 7,400.75 : x
  2. Step 2: Convert to fraction form
    20,551.91/30,820.57 = 7,400.75/x
  3. Step 3: Cross multiply
    20,551.91x = 30,820.57 × 7,400.75
  4. Step 4: Simplify right side
    20,551.91x = 228,095,333.43
  5. Step 5: Solve for x
    x = 228,095,333.43/20,551.91
  6. Step 6: Final answer
    x = 11,098.50

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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.