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Finding the Fourth Proportional to 20,685.52, 31,010.10 and 8,214.34

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Solution

The fourth proportional to 20,685.52, 31,010.10 and 8,214.34 is: 12,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.52 : 31,010.10 = 8,214.34 : x
  2. Step 2: Convert to fraction form
    20,685.52/31,010.10 = 8,214.34/x
  3. Step 3: Cross multiply
    20,685.52x = 31,010.10 × 8,214.34
  4. Step 4: Simplify right side
    20,685.52x = 254,727,504.83
  5. Step 5: Solve for x
    x = 254,727,504.83/20,685.52
  6. Step 6: Final answer
    x = 12,314.29

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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.