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Finding the Fourth Proportional to 20,902.19, 31,354.32 and 8,420.54

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Solution

The fourth proportional to 20,902.19, 31,354.32 and 8,420.54 is: 12,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.19 : 31,354.32 = 8,420.54 : x
  2. Step 2: Convert to fraction form
    20,902.19/31,354.32 = 8,420.54/x
  3. Step 3: Cross multiply
    20,902.19x = 31,354.32 × 8,420.54
  4. Step 4: Simplify right side
    20,902.19x = 264,020,148.96
  5. Step 5: Solve for x
    x = 264,020,148.96/20,902.19
  6. Step 6: Final answer
    x = 12,631.22

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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.