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Finding the Fourth Proportional to 13,874.63, 20,813.09 and 4,014.77

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Solution

The fourth proportional to 13,874.63, 20,813.09 and 4,014.77 is: 6,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.63 : 20,813.09 = 4,014.77 : x
  2. Step 2: Convert to fraction form
    13,874.63/20,813.09 = 4,014.77/x
  3. Step 3: Cross multiply
    13,874.63x = 20,813.09 × 4,014.77
  4. Step 4: Simplify right side
    13,874.63x = 83,559,645.20
  5. Step 5: Solve for x
    x = 83,559,645.20/13,874.63
  6. Step 6: Final answer
    x = 6,022.48

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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.