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Finding the Fourth Proportional to 12,823.60, 19,231.40 and 5,034.80

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Solution

The fourth proportional to 12,823.60, 19,231.40 and 5,034.80 is: 7,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.60 : 19,231.40 = 5,034.80 : x
  2. Step 2: Convert to fraction form
    12,823.60/19,231.40 = 5,034.80/x
  3. Step 3: Cross multiply
    12,823.60x = 19,231.40 × 5,034.80
  4. Step 4: Simplify right side
    12,823.60x = 96,826,252.72
  5. Step 5: Solve for x
    x = 96,826,252.72/12,823.60
  6. Step 6: Final answer
    x = 7,550.63

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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.