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Finding the Fourth Proportional to 21,142.86, 31,717.95 and 7,104.26

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Solution

The fourth proportional to 21,142.86, 31,717.95 and 7,104.26 is: 10,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.86 : 31,717.95 = 7,104.26 : x
  2. Step 2: Convert to fraction form
    21,142.86/31,717.95 = 7,104.26/x
  3. Step 3: Cross multiply
    21,142.86x = 31,717.95 × 7,104.26
  4. Step 4: Simplify right side
    21,142.86x = 225,332,497.65
  5. Step 5: Solve for x
    x = 225,332,497.65/21,142.86
  6. Step 6: Final answer
    x = 10,657.62

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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.