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Finding the Fourth Proportional to 16,814.41, 25,223.32 and 5,721.87

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Solution

The fourth proportional to 16,814.41, 25,223.32 and 5,721.87 is: 8,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.41 : 25,223.32 = 5,721.87 : x
  2. Step 2: Convert to fraction form
    16,814.41/25,223.32 = 5,721.87/x
  3. Step 3: Cross multiply
    16,814.41x = 25,223.32 × 5,721.87
  4. Step 4: Simplify right side
    16,814.41x = 144,324,639.63
  5. Step 5: Solve for x
    x = 144,324,639.63/16,814.41
  6. Step 6: Final answer
    x = 8,583.39

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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.