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Finding the Fourth Proportional to 13,641.34, 20,447.31 and 6,606.46

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Solution

The fourth proportional to 13,641.34, 20,447.31 and 6,606.46 is: 9,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.34 : 20,447.31 = 6,606.46 : x
  2. Step 2: Convert to fraction form
    13,641.34/20,447.31 = 6,606.46/x
  3. Step 3: Cross multiply
    13,641.34x = 20,447.31 × 6,606.46
  4. Step 4: Simplify right side
    13,641.34x = 135,084,335.62
  5. Step 5: Solve for x
    x = 135,084,335.62/13,641.34
  6. Step 6: Final answer
    x = 9,902.57

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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.