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Finding the Fourth Proportional to 21,687.86, 32,497.76 and 12,918

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Solution

The fourth proportional to 21,687.86, 32,497.76 and 12,918 is: 19,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.86 : 32,497.76 = 12,918 : x
  2. Step 2: Convert to fraction form
    21,687.86/32,497.76 = 12,918/x
  3. Step 3: Cross multiply
    21,687.86x = 32,497.76 × 12,918
  4. Step 4: Simplify right side
    21,687.86x = 419,806,063.68
  5. Step 5: Solve for x
    x = 419,806,063.68/21,687.86
  6. Step 6: Final answer
    x = 19,356.73

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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.