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Finding the Fourth Proportional to 20,006.40, 30,000.96 and 6,147.84

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Solution

The fourth proportional to 20,006.40, 30,000.96 and 6,147.84 is: 9,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.40 : 30,000.96 = 6,147.84 : x
  2. Step 2: Convert to fraction form
    20,006.40/30,000.96 = 6,147.84/x
  3. Step 3: Cross multiply
    20,006.40x = 30,000.96 × 6,147.84
  4. Step 4: Simplify right side
    20,006.40x = 184,441,101.93
  5. Step 5: Solve for x
    x = 184,441,101.93/20,006.40
  6. Step 6: Final answer
    x = 9,219.10

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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.