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Finding the Fourth Proportional to 12,902.31, 17,806.50 and 7,598.88

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Solution

The fourth proportional to 12,902.31, 17,806.50 and 7,598.88 is: 10,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.31 : 17,806.50 = 7,598.88 : x
  2. Step 2: Convert to fraction form
    12,902.31/17,806.50 = 7,598.88/x
  3. Step 3: Cross multiply
    12,902.31x = 17,806.50 × 7,598.88
  4. Step 4: Simplify right side
    12,902.31x = 135,309,456.72
  5. Step 5: Solve for x
    x = 135,309,456.72/12,902.31
  6. Step 6: Final answer
    x = 10,487.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.