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Finding the Fourth Proportional to 16,165.14, 22,307.90 and 9,091.56

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Solution

The fourth proportional to 16,165.14, 22,307.90 and 9,091.56 is: 12,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.14 : 22,307.90 = 9,091.56 : x
  2. Step 2: Convert to fraction form
    16,165.14/22,307.90 = 9,091.56/x
  3. Step 3: Cross multiply
    16,165.14x = 22,307.90 × 9,091.56
  4. Step 4: Simplify right side
    16,165.14x = 202,813,611.32
  5. Step 5: Solve for x
    x = 202,813,611.32/16,165.14
  6. Step 6: Final answer
    x = 12,546.36

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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.