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Finding the Fourth Proportional to 16,097.88, 22,227.66 and 10,435.32

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Solution

The fourth proportional to 16,097.88, 22,227.66 and 10,435.32 is: 14,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.88 : 22,227.66 = 10,435.32 : x
  2. Step 2: Convert to fraction form
    16,097.88/22,227.66 = 10,435.32/x
  3. Step 3: Cross multiply
    16,097.88x = 22,227.66 × 10,435.32
  4. Step 4: Simplify right side
    16,097.88x = 231,952,744.95
  5. Step 5: Solve for x
    x = 231,952,744.95/16,097.88
  6. Step 6: Final answer
    x = 14,408.90

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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.