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Finding the Fourth Proportional to 20,205.33, 30,310.05 and 5,415.74

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Solution

The fourth proportional to 20,205.33, 30,310.05 and 5,415.74 is: 8,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.33 : 30,310.05 = 5,415.74 : x
  2. Step 2: Convert to fraction form
    20,205.33/30,310.05 = 5,415.74/x
  3. Step 3: Cross multiply
    20,205.33x = 30,310.05 × 5,415.74
  4. Step 4: Simplify right side
    20,205.33x = 164,151,472.64
  5. Step 5: Solve for x
    x = 164,151,472.64/20,205.33
  6. Step 6: Final answer
    x = 8,124.17

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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.