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Finding the Fourth Proportional to 12,442.54, 18,623.11 and 6,811.74

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Solution

The fourth proportional to 12,442.54, 18,623.11 and 6,811.74 is: 10,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.54 : 18,623.11 = 6,811.74 : x
  2. Step 2: Convert to fraction form
    12,442.54/18,623.11 = 6,811.74/x
  3. Step 3: Cross multiply
    12,442.54x = 18,623.11 × 6,811.74
  4. Step 4: Simplify right side
    12,442.54x = 126,855,783.31
  5. Step 5: Solve for x
    x = 126,855,783.31/12,442.54
  6. Step 6: Final answer
    x = 10,195.33

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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.