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Finding the Fourth Proportional to 20,281.30, 30,399.35 and 8,428.46

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Solution

The fourth proportional to 20,281.30, 30,399.35 and 8,428.46 is: 12,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.30 : 30,399.35 = 8,428.46 : x
  2. Step 2: Convert to fraction form
    20,281.30/30,399.35 = 8,428.46/x
  3. Step 3: Cross multiply
    20,281.30x = 30,399.35 × 8,428.46
  4. Step 4: Simplify right side
    20,281.30x = 256,219,511.36
  5. Step 5: Solve for x
    x = 256,219,511.36/20,281.30
  6. Step 6: Final answer
    x = 12,633.29

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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.