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Finding the Fourth Proportional to 16,211, 22,356.62 and 13,829.56

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Solution

The fourth proportional to 16,211, 22,356.62 and 13,829.56 is: 19,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211 : 22,356.62 = 13,829.56 : x
  2. Step 2: Convert to fraction form
    16,211/22,356.62 = 13,829.56/x
  3. Step 3: Cross multiply
    16,211x = 22,356.62 × 13,829.56
  4. Step 4: Simplify right side
    16,211x = 309,182,217.69
  5. Step 5: Solve for x
    x = 309,182,217.69/16,211
  6. Step 6: Final answer
    x = 19,072.37

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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.