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Finding the Fourth Proportional to 14,809.60, 22,200.24 and 5,447.44

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Solution

The fourth proportional to 14,809.60, 22,200.24 and 5,447.44 is: 8,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.60 : 22,200.24 = 5,447.44 : x
  2. Step 2: Convert to fraction form
    14,809.60/22,200.24 = 5,447.44/x
  3. Step 3: Cross multiply
    14,809.60x = 22,200.24 × 5,447.44
  4. Step 4: Simplify right side
    14,809.60x = 120,934,475.39
  5. Step 5: Solve for x
    x = 120,934,475.39/14,809.60
  6. Step 6: Final answer
    x = 8,165.95

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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.