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Finding the Fourth Proportional to 13,514.88, 20,268.48 and 5,194.32

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Solution

The fourth proportional to 13,514.88, 20,268.48 and 5,194.32 is: 7,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.88 : 20,268.48 = 5,194.32 : x
  2. Step 2: Convert to fraction form
    13,514.88/20,268.48 = 5,194.32/x
  3. Step 3: Cross multiply
    13,514.88x = 20,268.48 × 5,194.32
  4. Step 4: Simplify right side
    13,514.88x = 105,280,971.03
  5. Step 5: Solve for x
    x = 105,280,971.03/13,514.88
  6. Step 6: Final answer
    x = 7,790.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.