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Finding the Fourth Proportional to 13,278.35, 18,324.05 and 7,309.87

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Solution

The fourth proportional to 13,278.35, 18,324.05 and 7,309.87 is: 10,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.35 : 18,324.05 = 7,309.87 : x
  2. Step 2: Convert to fraction form
    13,278.35/18,324.05 = 7,309.87/x
  3. Step 3: Cross multiply
    13,278.35x = 18,324.05 × 7,309.87
  4. Step 4: Simplify right side
    13,278.35x = 133,946,341.01
  5. Step 5: Solve for x
    x = 133,946,341.01/13,278.35
  6. Step 6: Final answer
    x = 10,087.57

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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.