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Finding the Fourth Proportional to 12,902.90, 17,806.77 and 7,601.24

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Solution

The fourth proportional to 12,902.90, 17,806.77 and 7,601.24 is: 10,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.90 : 17,806.77 = 7,601.24 : x
  2. Step 2: Convert to fraction form
    12,902.90/17,806.77 = 7,601.24/x
  3. Step 3: Cross multiply
    12,902.90x = 17,806.77 × 7,601.24
  4. Step 4: Simplify right side
    12,902.90x = 135,353,576.91
  5. Step 5: Solve for x
    x = 135,353,576.91/12,902.90
  6. Step 6: Final answer
    x = 10,490.17

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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.