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Finding the Fourth Proportional to 12,902.91, 17,806.23 and 7,238.94

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Solution

The fourth proportional to 12,902.91, 17,806.23 and 7,238.94 is: 9,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.91 : 17,806.23 = 7,238.94 : x
  2. Step 2: Convert to fraction form
    12,902.91/17,806.23 = 7,238.94/x
  3. Step 3: Cross multiply
    12,902.91x = 17,806.23 × 7,238.94
  4. Step 4: Simplify right side
    12,902.91x = 128,898,230.60
  5. Step 5: Solve for x
    x = 128,898,230.60/12,902.91
  6. Step 6: Final answer
    x = 9,989.86

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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.