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Finding the Fourth Proportional to 13,739.22, 18,959.94 and 7,770.69

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Solution

The fourth proportional to 13,739.22, 18,959.94 and 7,770.69 is: 10,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.22 : 18,959.94 = 7,770.69 : x
  2. Step 2: Convert to fraction form
    13,739.22/18,959.94 = 7,770.69/x
  3. Step 3: Cross multiply
    13,739.22x = 18,959.94 × 7,770.69
  4. Step 4: Simplify right side
    13,739.22x = 147,331,816.16
  5. Step 5: Solve for x
    x = 147,331,816.16/13,739.22
  6. Step 6: Final answer
    x = 10,723.45

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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.