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Finding the Fourth Proportional to 20,205.44, 30,312.93 and 6,354.44

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Solution

The fourth proportional to 20,205.44, 30,312.93 and 6,354.44 is: 9,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.44 : 30,312.93 = 6,354.44 : x
  2. Step 2: Convert to fraction form
    20,205.44/30,312.93 = 6,354.44/x
  3. Step 3: Cross multiply
    20,205.44x = 30,312.93 × 6,354.44
  4. Step 4: Simplify right side
    20,205.44x = 192,621,694.91
  5. Step 5: Solve for x
    x = 192,621,694.91/20,205.44
  6. Step 6: Final answer
    x = 9,533.16

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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.