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Finding the Fourth Proportional to 14,829.97, 20,464.86 and 8,115.15

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Solution

The fourth proportional to 14,829.97, 20,464.86 and 8,115.15 is: 11,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.97 : 20,464.86 = 8,115.15 : x
  2. Step 2: Convert to fraction form
    14,829.97/20,464.86 = 8,115.15/x
  3. Step 3: Cross multiply
    14,829.97x = 20,464.86 × 8,115.15
  4. Step 4: Simplify right side
    14,829.97x = 166,075,331.89
  5. Step 5: Solve for x
    x = 166,075,331.89/14,829.97
  6. Step 6: Final answer
    x = 11,198.63

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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.