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Finding the Fourth Proportional to 14,906.26, 22,364.07 and 6,145.30

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Solution

The fourth proportional to 14,906.26, 22,364.07 and 6,145.30 is: 9,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.26 : 22,364.07 = 6,145.30 : x
  2. Step 2: Convert to fraction form
    14,906.26/22,364.07 = 6,145.30/x
  3. Step 3: Cross multiply
    14,906.26x = 22,364.07 × 6,145.30
  4. Step 4: Simplify right side
    14,906.26x = 137,433,919.37
  5. Step 5: Solve for x
    x = 137,433,919.37/14,906.26
  6. Step 6: Final answer
    x = 9,219.88

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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.