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Finding the Fourth Proportional to 12,647.96, 18,972.86 and 4,856.78

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Solution

The fourth proportional to 12,647.96, 18,972.86 and 4,856.78 is: 7,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.96 : 18,972.86 = 4,856.78 : x
  2. Step 2: Convert to fraction form
    12,647.96/18,972.86 = 4,856.78/x
  3. Step 3: Cross multiply
    12,647.96x = 18,972.86 × 4,856.78
  4. Step 4: Simplify right side
    12,647.96x = 92,146,887.84
  5. Step 5: Solve for x
    x = 92,146,887.84/12,647.96
  6. Step 6: Final answer
    x = 7,285.51

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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.