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Finding the Fourth Proportional to 12,856.87, 19,282.60 and 4,956.67

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Solution

The fourth proportional to 12,856.87, 19,282.60 and 4,956.67 is: 7,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.87 : 19,282.60 = 4,956.67 : x
  2. Step 2: Convert to fraction form
    12,856.87/19,282.60 = 4,956.67/x
  3. Step 3: Cross multiply
    12,856.87x = 19,282.60 × 4,956.67
  4. Step 4: Simplify right side
    12,856.87x = 95,577,363.75
  5. Step 5: Solve for x
    x = 95,577,363.75/12,856.87
  6. Step 6: Final answer
    x = 7,433.96

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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.