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Finding the Fourth Proportional to 13,278.69, 18,323.95 and 7,310.23

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Solution

The fourth proportional to 13,278.69, 18,323.95 and 7,310.23 is: 10,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.69 : 18,323.95 = 7,310.23 : x
  2. Step 2: Convert to fraction form
    13,278.69/18,323.95 = 7,310.23/x
  3. Step 3: Cross multiply
    13,278.69x = 18,323.95 × 7,310.23
  4. Step 4: Simplify right side
    13,278.69x = 133,952,289.01
  5. Step 5: Solve for x
    x = 133,952,289.01/13,278.69
  6. Step 6: Final answer
    x = 10,087.76

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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.