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Finding the Fourth Proportional to 12,856.78, 19,285.56 and 3,622.78

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Solution

The fourth proportional to 12,856.78, 19,285.56 and 3,622.78 is: 5,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.78 : 19,285.56 = 3,622.78 : x
  2. Step 2: Convert to fraction form
    12,856.78/19,285.56 = 3,622.78/x
  3. Step 3: Cross multiply
    12,856.78x = 19,285.56 × 3,622.78
  4. Step 4: Simplify right side
    12,856.78x = 69,867,341.06
  5. Step 5: Solve for x
    x = 69,867,341.06/12,856.78
  6. Step 6: Final answer
    x = 5,434.28

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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.