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Finding the Fourth Proportional to 20,560.38, 30,822.06 and 7,403.50

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Solution

The fourth proportional to 20,560.38, 30,822.06 and 7,403.50 is: 11,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.38 : 30,822.06 = 7,403.50 : x
  2. Step 2: Convert to fraction form
    20,560.38/30,822.06 = 7,403.50/x
  3. Step 3: Cross multiply
    20,560.38x = 30,822.06 × 7,403.50
  4. Step 4: Simplify right side
    20,560.38x = 228,191,121.21
  5. Step 5: Solve for x
    x = 228,191,121.21/20,560.38
  6. Step 6: Final answer
    x = 11,098.58

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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.