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Finding the Fourth Proportional to 20,957.56, 31,436.34 and 7,102.84

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Solution

The fourth proportional to 20,957.56, 31,436.34 and 7,102.84 is: 10,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.56 : 31,436.34 = 7,102.84 : x
  2. Step 2: Convert to fraction form
    20,957.56/31,436.34 = 7,102.84/x
  3. Step 3: Cross multiply
    20,957.56x = 31,436.34 × 7,102.84
  4. Step 4: Simplify right side
    20,957.56x = 223,287,293.21
  5. Step 5: Solve for x
    x = 223,287,293.21/20,957.56
  6. Step 6: Final answer
    x = 10,654.26

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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.