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Finding the Fourth Proportional to 12,856.81, 19,285.02 and 4,091.59

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Solution

The fourth proportional to 12,856.81, 19,285.02 and 4,091.59 is: 6,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.81 : 19,285.02 = 4,091.59 : x
  2. Step 2: Convert to fraction form
    12,856.81/19,285.02 = 4,091.59/x
  3. Step 3: Cross multiply
    12,856.81x = 19,285.02 × 4,091.59
  4. Step 4: Simplify right side
    12,856.81x = 78,906,394.98
  5. Step 5: Solve for x
    x = 78,906,394.98/12,856.81
  6. Step 6: Final answer
    x = 6,137.32

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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.