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Finding the Fourth Proportional to 20,564.92, 30,841.98 and 7,414.84

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Solution

The fourth proportional to 20,564.92, 30,841.98 and 7,414.84 is: 11,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.92 : 30,841.98 = 7,414.84 : x
  2. Step 2: Convert to fraction form
    20,564.92/30,841.98 = 7,414.84/x
  3. Step 3: Cross multiply
    20,564.92x = 30,841.98 × 7,414.84
  4. Step 4: Simplify right side
    20,564.92x = 228,688,346.98
  5. Step 5: Solve for x
    x = 228,688,346.98/20,564.92
  6. Step 6: Final answer
    x = 11,120.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.