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Finding the Fourth Proportional to 12,274.86, 18,412.91 and 3,511.07

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Solution

The fourth proportional to 12,274.86, 18,412.91 and 3,511.07 is: 5,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.86 : 18,412.91 = 3,511.07 : x
  2. Step 2: Convert to fraction form
    12,274.86/18,412.91 = 3,511.07/x
  3. Step 3: Cross multiply
    12,274.86x = 18,412.91 × 3,511.07
  4. Step 4: Simplify right side
    12,274.86x = 64,648,906.29
  5. Step 5: Solve for x
    x = 64,648,906.29/12,274.86
  6. Step 6: Final answer
    x = 5,266.77

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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.