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Finding the Fourth Proportional to 13,278.19, 18,323.97 and 7,309.86

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Solution

The fourth proportional to 13,278.19, 18,323.97 and 7,309.86 is: 10,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.19 : 18,323.97 = 7,309.86 : x
  2. Step 2: Convert to fraction form
    13,278.19/18,323.97 = 7,309.86/x
  3. Step 3: Cross multiply
    13,278.19x = 18,323.97 × 7,309.86
  4. Step 4: Simplify right side
    13,278.19x = 133,945,614.54
  5. Step 5: Solve for x
    x = 133,945,614.54/13,278.19
  6. Step 6: Final answer
    x = 10,087.64

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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.