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Finding the Fourth Proportional to 12,856.44, 19,285.71 and 4,419.57

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Solution

The fourth proportional to 12,856.44, 19,285.71 and 4,419.57 is: 6,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.44 : 19,285.71 = 4,419.57 : x
  2. Step 2: Convert to fraction form
    12,856.44/19,285.71 = 4,419.57/x
  3. Step 3: Cross multiply
    12,856.44x = 19,285.71 × 4,419.57
  4. Step 4: Simplify right side
    12,856.44x = 85,234,545.34
  5. Step 5: Solve for x
    x = 85,234,545.34/12,856.44
  6. Step 6: Final answer
    x = 6,629.72

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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.