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Finding the Fourth Proportional to 13,739.27, 18,959.13 and 7,771.59

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Solution

The fourth proportional to 13,739.27, 18,959.13 and 7,771.59 is: 10,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.27 : 18,959.13 = 7,771.59 : x
  2. Step 2: Convert to fraction form
    13,739.27/18,959.13 = 7,771.59/x
  3. Step 3: Cross multiply
    13,739.27x = 18,959.13 × 7,771.59
  4. Step 4: Simplify right side
    13,739.27x = 147,342,585.12
  5. Step 5: Solve for x
    x = 147,342,585.12/13,739.27
  6. Step 6: Final answer
    x = 10,724.20

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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.