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Finding the Fourth Proportional to 23,850.46, 32,919.44 and 14,296.01

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Solution

The fourth proportional to 23,850.46, 32,919.44 and 14,296.01 is: 19,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850.46 : 32,919.44 = 14,296.01 : x
  2. Step 2: Convert to fraction form
    23,850.46/32,919.44 = 14,296.01/x
  3. Step 3: Cross multiply
    23,850.46x = 32,919.44 × 14,296.01
  4. Step 4: Simplify right side
    23,850.46x = 470,616,643.43
  5. Step 5: Solve for x
    x = 470,616,643.43/23,850.46
  6. Step 6: Final answer
    x = 19,731.97

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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.