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Finding the Fourth Proportional to 12,308.09, 18,461.99 and 8,349.54

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Solution

The fourth proportional to 12,308.09, 18,461.99 and 8,349.54 is: 12,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.09 : 18,461.99 = 8,349.54 : x
  2. Step 2: Convert to fraction form
    12,308.09/18,461.99 = 8,349.54/x
  3. Step 3: Cross multiply
    12,308.09x = 18,461.99 × 8,349.54
  4. Step 4: Simplify right side
    12,308.09x = 154,149,123.98
  5. Step 5: Solve for x
    x = 154,149,123.98/12,308.09
  6. Step 6: Final answer
    x = 12,524.21

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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.