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Finding the Fourth Proportional to 13,278.40, 18,323.52 and 7,310.32

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Solution

The fourth proportional to 13,278.40, 18,323.52 and 7,310.32 is: 10,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.40 : 18,323.52 = 7,310.32 : x
  2. Step 2: Convert to fraction form
    13,278.40/18,323.52 = 7,310.32/x
  3. Step 3: Cross multiply
    13,278.40x = 18,323.52 × 7,310.32
  4. Step 4: Simplify right side
    13,278.40x = 133,950,794.73
  5. Step 5: Solve for x
    x = 133,950,794.73/13,278.40
  6. Step 6: Final answer
    x = 10,087.87

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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.