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Finding the Fourth Proportional to 21,209.32, 31,814.44 and 6,418.22

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Solution

The fourth proportional to 21,209.32, 31,814.44 and 6,418.22 is: 9,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.32 : 31,814.44 = 6,418.22 : x
  2. Step 2: Convert to fraction form
    21,209.32/31,814.44 = 6,418.22/x
  3. Step 3: Cross multiply
    21,209.32x = 31,814.44 × 6,418.22
  4. Step 4: Simplify right side
    21,209.32x = 204,191,899.98
  5. Step 5: Solve for x
    x = 204,191,899.98/21,209.32
  6. Step 6: Final answer
    x = 9,627.46

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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.