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Finding the Fourth Proportional to 13,091.71, 19,627.23 and 6,514.31

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Solution

The fourth proportional to 13,091.71, 19,627.23 and 6,514.31 is: 9,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.71 : 19,627.23 = 6,514.31 : x
  2. Step 2: Convert to fraction form
    13,091.71/19,627.23 = 6,514.31/x
  3. Step 3: Cross multiply
    13,091.71x = 19,627.23 × 6,514.31
  4. Step 4: Simplify right side
    13,091.71x = 127,857,860.66
  5. Step 5: Solve for x
    x = 127,857,860.66/13,091.71
  6. Step 6: Final answer
    x = 9,766.32

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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.