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Finding the Fourth Proportional to 12,856.76, 19,285.12 and 3,622.76

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Solution

The fourth proportional to 12,856.76, 19,285.12 and 3,622.76 is: 5,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.76 : 19,285.12 = 3,622.76 : x
  2. Step 2: Convert to fraction form
    12,856.76/19,285.12 = 3,622.76/x
  3. Step 3: Cross multiply
    12,856.76x = 19,285.12 × 3,622.76
  4. Step 4: Simplify right side
    12,856.76x = 69,865,361.33
  5. Step 5: Solve for x
    x = 69,865,361.33/12,856.76
  6. Step 6: Final answer
    x = 5,434.13

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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.