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Finding the Fourth Proportional to 13,028.31, 19,543.77 and 3,668.31

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Solution

The fourth proportional to 13,028.31, 19,543.77 and 3,668.31 is: 5,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.31 : 19,543.77 = 3,668.31 : x
  2. Step 2: Convert to fraction form
    13,028.31/19,543.77 = 3,668.31/x
  3. Step 3: Cross multiply
    13,028.31x = 19,543.77 × 3,668.31
  4. Step 4: Simplify right side
    13,028.31x = 71,692,606.93
  5. Step 5: Solve for x
    x = 71,692,606.93/13,028.31
  6. Step 6: Final answer
    x = 5,502.83

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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.