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Finding the Fourth Proportional to 12,809.41, 19,189.41 and 7,245.73

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Solution

The fourth proportional to 12,809.41, 19,189.41 and 7,245.73 is: 10,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.41 : 19,189.41 = 7,245.73 : x
  2. Step 2: Convert to fraction form
    12,809.41/19,189.41 = 7,245.73/x
  3. Step 3: Cross multiply
    12,809.41x = 19,189.41 × 7,245.73
  4. Step 4: Simplify right side
    12,809.41x = 139,041,283.72
  5. Step 5: Solve for x
    x = 139,041,283.72/12,809.41
  6. Step 6: Final answer
    x = 10,854.62

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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.