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Finding the Fourth Proportional to 20,975.34, 31,473.95 and 8,504.58

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Solution

The fourth proportional to 20,975.34, 31,473.95 and 8,504.58 is: 12,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.34 : 31,473.95 = 8,504.58 : x
  2. Step 2: Convert to fraction form
    20,975.34/31,473.95 = 8,504.58/x
  3. Step 3: Cross multiply
    20,975.34x = 31,473.95 × 8,504.58
  4. Step 4: Simplify right side
    20,975.34x = 267,672,725.69
  5. Step 5: Solve for x
    x = 267,672,725.69/20,975.34
  6. Step 6: Final answer
    x = 12,761.31

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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.