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Finding the Fourth Proportional to 14,221.10, 21,322.49 and 5,906.84

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Solution

The fourth proportional to 14,221.10, 21,322.49 and 5,906.84 is: 8,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.10 : 21,322.49 = 5,906.84 : x
  2. Step 2: Convert to fraction form
    14,221.10/21,322.49 = 5,906.84/x
  3. Step 3: Cross multiply
    14,221.10x = 21,322.49 × 5,906.84
  4. Step 4: Simplify right side
    14,221.10x = 125,948,536.83
  5. Step 5: Solve for x
    x = 125,948,536.83/14,221.10
  6. Step 6: Final answer
    x = 8,856.46

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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.