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Finding the Fourth Proportional to 10,268.64, 14,078.25 and 10,081.80

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Solution

The fourth proportional to 10,268.64, 14,078.25 and 10,081.80 is: 13,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.64 : 14,078.25 = 10,081.80 : x
  2. Step 2: Convert to fraction form
    10,268.64/14,078.25 = 10,081.80/x
  3. Step 3: Cross multiply
    10,268.64x = 14,078.25 × 10,081.80
  4. Step 4: Simplify right side
    10,268.64x = 141,934,100.85
  5. Step 5: Solve for x
    x = 141,934,100.85/10,268.64
  6. Step 6: Final answer
    x = 13,822.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.