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Finding the Fourth Proportional to 14,213.44, 21,322.90 and 6,422.26

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Solution

The fourth proportional to 14,213.44, 21,322.90 and 6,422.26 is: 9,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.44 : 21,322.90 = 6,422.26 : x
  2. Step 2: Convert to fraction form
    14,213.44/21,322.90 = 6,422.26/x
  3. Step 3: Cross multiply
    14,213.44x = 21,322.90 × 6,422.26
  4. Step 4: Simplify right side
    14,213.44x = 136,941,207.75
  5. Step 5: Solve for x
    x = 136,941,207.75/14,213.44
  6. Step 6: Final answer
    x = 9,634.63

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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.