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Finding the Fourth Proportional to 12,234.10, 18,344.94 and 5,211.40

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Solution

The fourth proportional to 12,234.10, 18,344.94 and 5,211.40 is: 7,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.10 : 18,344.94 = 5,211.40 : x
  2. Step 2: Convert to fraction form
    12,234.10/18,344.94 = 5,211.40/x
  3. Step 3: Cross multiply
    12,234.10x = 18,344.94 × 5,211.40
  4. Step 4: Simplify right side
    12,234.10x = 95,602,820.32
  5. Step 5: Solve for x
    x = 95,602,820.32/12,234.10
  6. Step 6: Final answer
    x = 7,814.45

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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.