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Finding the Fourth Proportional to 14,821.83, 20,453.84 and 8,107.44

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Solution

The fourth proportional to 14,821.83, 20,453.84 and 8,107.44 is: 11,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.83 : 20,453.84 = 8,107.44 : x
  2. Step 2: Convert to fraction form
    14,821.83/20,453.84 = 8,107.44/x
  3. Step 3: Cross multiply
    14,821.83x = 20,453.84 × 8,107.44
  4. Step 4: Simplify right side
    14,821.83x = 165,828,240.03
  5. Step 5: Solve for x
    x = 165,828,240.03/14,821.83
  6. Step 6: Final answer
    x = 11,188.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.