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Finding the Fourth Proportional to 12,856.70, 19,287.89 and 5,467.47

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Solution

The fourth proportional to 12,856.70, 19,287.89 and 5,467.47 is: 8,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.70 : 19,287.89 = 5,467.47 : x
  2. Step 2: Convert to fraction form
    12,856.70/19,287.89 = 5,467.47/x
  3. Step 3: Cross multiply
    12,856.70x = 19,287.89 × 5,467.47
  4. Step 4: Simplify right side
    12,856.70x = 105,455,932.60
  5. Step 5: Solve for x
    x = 105,455,932.60/12,856.70
  6. Step 6: Final answer
    x = 8,202.41

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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.