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Finding the Fourth Proportional to 12,027.36, 16,594.92 and 7,311.36

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Solution

The fourth proportional to 12,027.36, 16,594.92 and 7,311.36 is: 10,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.36 : 16,594.92 = 7,311.36 : x
  2. Step 2: Convert to fraction form
    12,027.36/16,594.92 = 7,311.36/x
  3. Step 3: Cross multiply
    12,027.36x = 16,594.92 × 7,311.36
  4. Step 4: Simplify right side
    12,027.36x = 121,331,434.29
  5. Step 5: Solve for x
    x = 121,331,434.29/12,027.36
  6. Step 6: Final answer
    x = 10,087.95

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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.