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Finding the Fourth Proportional to 12,204.70, 18,312.36 and 4,814.54

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Solution

The fourth proportional to 12,204.70, 18,312.36 and 4,814.54 is: 7,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.70 : 18,312.36 = 4,814.54 : x
  2. Step 2: Convert to fraction form
    12,204.70/18,312.36 = 4,814.54/x
  3. Step 3: Cross multiply
    12,204.70x = 18,312.36 × 4,814.54
  4. Step 4: Simplify right side
    12,204.70x = 88,165,589.71
  5. Step 5: Solve for x
    x = 88,165,589.71/12,204.70
  6. Step 6: Final answer
    x = 7,223.90

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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.