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Finding the Fourth Proportional to 13,814.17, 20,721.37 and 8,564.46

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Solution

The fourth proportional to 13,814.17, 20,721.37 and 8,564.46 is: 12,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.17 : 20,721.37 = 8,564.46 : x
  2. Step 2: Convert to fraction form
    13,814.17/20,721.37 = 8,564.46/x
  3. Step 3: Cross multiply
    13,814.17x = 20,721.37 × 8,564.46
  4. Step 4: Simplify right side
    13,814.17x = 177,467,319.73
  5. Step 5: Solve for x
    x = 177,467,319.73/13,814.17
  6. Step 6: Final answer
    x = 12,846.76

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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.