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Finding the Fourth Proportional to 20,285.34, 30,438.90 and 8,447.28

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Solution

The fourth proportional to 20,285.34, 30,438.90 and 8,447.28 is: 12,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.34 : 30,438.90 = 8,447.28 : x
  2. Step 2: Convert to fraction form
    20,285.34/30,438.90 = 8,447.28/x
  3. Step 3: Cross multiply
    20,285.34x = 30,438.90 × 8,447.28
  4. Step 4: Simplify right side
    20,285.34x = 257,125,911.19
  5. Step 5: Solve for x
    x = 257,125,911.19/20,285.34
  6. Step 6: Final answer
    x = 12,675.45

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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.