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Finding the Fourth Proportional to 12,970.72, 19,458.24 and 5,179.68

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Solution

The fourth proportional to 12,970.72, 19,458.24 and 5,179.68 is: 7,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.72 : 19,458.24 = 5,179.68 : x
  2. Step 2: Convert to fraction form
    12,970.72/19,458.24 = 5,179.68/x
  3. Step 3: Cross multiply
    12,970.72x = 19,458.24 × 5,179.68
  4. Step 4: Simplify right side
    12,970.72x = 100,787,456.56
  5. Step 5: Solve for x
    x = 100,787,456.56/12,970.72
  6. Step 6: Final answer
    x = 7,770.38

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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.