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Finding the Fourth Proportional to 14,906.74, 22,360.10 and 3,813.44

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Solution

The fourth proportional to 14,906.74, 22,360.10 and 3,813.44 is: 5,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.74 : 22,360.10 = 3,813.44 : x
  2. Step 2: Convert to fraction form
    14,906.74/22,360.10 = 3,813.44/x
  3. Step 3: Cross multiply
    14,906.74x = 22,360.10 × 3,813.44
  4. Step 4: Simplify right side
    14,906.74x = 85,268,899.74
  5. Step 5: Solve for x
    x = 85,268,899.74/14,906.74
  6. Step 6: Final answer
    x = 5,720.16

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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.