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Finding the Fourth Proportional to 12,504.60, 18,761.29 and 7,819.29

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Solution

The fourth proportional to 12,504.60, 18,761.29 and 7,819.29 is: 11,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.60 : 18,761.29 = 7,819.29 : x
  2. Step 2: Convert to fraction form
    12,504.60/18,761.29 = 7,819.29/x
  3. Step 3: Cross multiply
    12,504.60x = 18,761.29 × 7,819.29
  4. Step 4: Simplify right side
    12,504.60x = 146,699,947.74
  5. Step 5: Solve for x
    x = 146,699,947.74/12,504.60
  6. Step 6: Final answer
    x = 11,731.68

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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.