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Finding the Fourth Proportional to 16,083.81, 22,188.24 and 10,420.47

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Solution

The fourth proportional to 16,083.81, 22,188.24 and 10,420.47 is: 14,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.81 : 22,188.24 = 10,420.47 : x
  2. Step 2: Convert to fraction form
    16,083.81/22,188.24 = 10,420.47/x
  3. Step 3: Cross multiply
    16,083.81x = 22,188.24 × 10,420.47
  4. Step 4: Simplify right side
    16,083.81x = 231,211,889.27
  5. Step 5: Solve for x
    x = 231,211,889.27/16,083.81
  6. Step 6: Final answer
    x = 14,375.44

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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.