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Finding the Fourth Proportional to 12,856.79, 19,287.34 and 4,094.39

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Solution

The fourth proportional to 12,856.79, 19,287.34 and 4,094.39 is: 6,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.79 : 19,287.34 = 4,094.39 : x
  2. Step 2: Convert to fraction form
    12,856.79/19,287.34 = 4,094.39/x
  3. Step 3: Cross multiply
    12,856.79x = 19,287.34 × 4,094.39
  4. Step 4: Simplify right side
    12,856.79x = 78,969,785.35
  5. Step 5: Solve for x
    x = 78,969,785.35/12,856.79
  6. Step 6: Final answer
    x = 6,142.27

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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.