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Finding the Fourth Proportional to 14,828.88, 20,464.14 and 8,114.94

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Solution

The fourth proportional to 14,828.88, 20,464.14 and 8,114.94 is: 11,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.88 : 20,464.14 = 8,114.94 : x
  2. Step 2: Convert to fraction form
    14,828.88/20,464.14 = 8,114.94/x
  3. Step 3: Cross multiply
    14,828.88x = 20,464.14 × 8,114.94
  4. Step 4: Simplify right side
    14,828.88x = 166,065,268.25
  5. Step 5: Solve for x
    x = 166,065,268.25/14,828.88
  6. Step 6: Final answer
    x = 11,198.77

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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.