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Finding the Fourth Proportional to 13,739.24, 18,959.86 and 7,770.12

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Solution

The fourth proportional to 13,739.24, 18,959.86 and 7,770.12 is: 10,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.24 : 18,959.86 = 7,770.12 : x
  2. Step 2: Convert to fraction form
    13,739.24/18,959.86 = 7,770.12/x
  3. Step 3: Cross multiply
    13,739.24x = 18,959.86 × 7,770.12
  4. Step 4: Simplify right side
    13,739.24x = 147,320,387.38
  5. Step 5: Solve for x
    x = 147,320,387.38/13,739.24
  6. Step 6: Final answer
    x = 10,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.