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Finding the Fourth Proportional to 20,005.56, 30,008.35 and 5,214.44

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Solution

The fourth proportional to 20,005.56, 30,008.35 and 5,214.44 is: 7,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.56 : 30,008.35 = 5,214.44 : x
  2. Step 2: Convert to fraction form
    20,005.56/30,008.35 = 5,214.44/x
  3. Step 3: Cross multiply
    20,005.56x = 30,008.35 × 5,214.44
  4. Step 4: Simplify right side
    20,005.56x = 156,476,740.57
  5. Step 5: Solve for x
    x = 156,476,740.57/20,005.56
  6. Step 6: Final answer
    x = 7,821.66

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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.