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Finding the Fourth Proportional to 12,920.48, 19,382.74 and 5,524.97

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Solution

The fourth proportional to 12,920.48, 19,382.74 and 5,524.97 is: 8,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.48 : 19,382.74 = 5,524.97 : x
  2. Step 2: Convert to fraction form
    12,920.48/19,382.74 = 5,524.97/x
  3. Step 3: Cross multiply
    12,920.48x = 19,382.74 × 5,524.97
  4. Step 4: Simplify right side
    12,920.48x = 107,089,057.02
  5. Step 5: Solve for x
    x = 107,089,057.02/12,920.48
  6. Step 6: Final answer
    x = 8,288.32

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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.