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Finding the Fourth Proportional to 12,441.60, 18,633.24 and 9,496.44

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Solution

The fourth proportional to 12,441.60, 18,633.24 and 9,496.44 is: 14,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.60 : 18,633.24 = 9,496.44 : x
  2. Step 2: Convert to fraction form
    12,441.60/18,633.24 = 9,496.44/x
  3. Step 3: Cross multiply
    12,441.60x = 18,633.24 × 9,496.44
  4. Step 4: Simplify right side
    12,441.60x = 176,949,445.67
  5. Step 5: Solve for x
    x = 176,949,445.67/12,441.60
  6. Step 6: Final answer
    x = 14,222.40

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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.