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Finding the Fourth Proportional to 14,821.60, 20,454.27 and 8,107.41

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Solution

The fourth proportional to 14,821.60, 20,454.27 and 8,107.41 is: 11,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.60 : 20,454.27 = 8,107.41 : x
  2. Step 2: Convert to fraction form
    14,821.60/20,454.27 = 8,107.41/x
  3. Step 3: Cross multiply
    14,821.60x = 20,454.27 × 8,107.41
  4. Step 4: Simplify right side
    14,821.60x = 165,831,153.14
  5. Step 5: Solve for x
    x = 165,831,153.14/14,821.60
  6. Step 6: Final answer
    x = 11,188.48

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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.