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Finding the Fourth Proportional to 16,014.77, 22,099.10 and 9,299.29

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Solution

The fourth proportional to 16,014.77, 22,099.10 and 9,299.29 is: 12,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.77 : 22,099.10 = 9,299.29 : x
  2. Step 2: Convert to fraction form
    16,014.77/22,099.10 = 9,299.29/x
  3. Step 3: Cross multiply
    16,014.77x = 22,099.10 × 9,299.29
  4. Step 4: Simplify right side
    16,014.77x = 205,505,907.64
  5. Step 5: Solve for x
    x = 205,505,907.64/16,014.77
  6. Step 6: Final answer
    x = 12,832.28

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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.