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Finding the Fourth Proportional to 14,612.96, 21,906.30 and 5,250.77

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Solution

The fourth proportional to 14,612.96, 21,906.30 and 5,250.77 is: 7,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.96 : 21,906.30 = 5,250.77 : x
  2. Step 2: Convert to fraction form
    14,612.96/21,906.30 = 5,250.77/x
  3. Step 3: Cross multiply
    14,612.96x = 21,906.30 × 5,250.77
  4. Step 4: Simplify right side
    14,612.96x = 115,025,028.85
  5. Step 5: Solve for x
    x = 115,025,028.85/14,612.96
  6. Step 6: Final answer
    x = 7,871.44

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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.