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Finding the Fourth Proportional to 14,181.21, 19,570.05 and 8,213.22

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Solution

The fourth proportional to 14,181.21, 19,570.05 and 8,213.22 is: 11,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.21 : 19,570.05 = 8,213.22 : x
  2. Step 2: Convert to fraction form
    14,181.21/19,570.05 = 8,213.22/x
  3. Step 3: Cross multiply
    14,181.21x = 19,570.05 × 8,213.22
  4. Step 4: Simplify right side
    14,181.21x = 160,733,126.06
  5. Step 5: Solve for x
    x = 160,733,126.06/14,181.21
  6. Step 6: Final answer
    x = 11,334.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.