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Finding the Fourth Proportional to 12,122.12, 18,164.94 and 8,213

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Solution

The fourth proportional to 12,122.12, 18,164.94 and 8,213 is: 12,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.12 : 18,164.94 = 8,213 : x
  2. Step 2: Convert to fraction form
    12,122.12/18,164.94 = 8,213/x
  3. Step 3: Cross multiply
    12,122.12x = 18,164.94 × 8,213
  4. Step 4: Simplify right side
    12,122.12x = 149,188,652.22
  5. Step 5: Solve for x
    x = 149,188,652.22/12,122.12
  6. Step 6: Final answer
    x = 12,307.14

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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.