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Finding the Fourth Proportional to 12,859.58, 19,286.02 and 5,460.22

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Solution

The fourth proportional to 12,859.58, 19,286.02 and 5,460.22 is: 8,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.58 : 19,286.02 = 5,460.22 : x
  2. Step 2: Convert to fraction form
    12,859.58/19,286.02 = 5,460.22/x
  3. Step 3: Cross multiply
    12,859.58x = 19,286.02 × 5,460.22
  4. Step 4: Simplify right side
    12,859.58x = 105,305,912.12
  5. Step 5: Solve for x
    x = 105,305,912.12/12,859.58
  6. Step 6: Final answer
    x = 8,188.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.