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Finding the Fourth Proportional to 14,770.53, 22,103.78 and 9,226.48

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Solution

The fourth proportional to 14,770.53, 22,103.78 and 9,226.48 is: 13,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.53 : 22,103.78 = 9,226.48 : x
  2. Step 2: Convert to fraction form
    14,770.53/22,103.78 = 9,226.48/x
  3. Step 3: Cross multiply
    14,770.53x = 22,103.78 × 9,226.48
  4. Step 4: Simplify right side
    14,770.53x = 203,940,037.96
  5. Step 5: Solve for x
    x = 203,940,037.96/14,770.53
  6. Step 6: Final answer
    x = 13,807.23

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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.