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Finding the Fourth Proportional to 12,312.81, 18,469.10 and 8,354.27

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Solution

The fourth proportional to 12,312.81, 18,469.10 and 8,354.27 is: 12,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.81 : 18,469.10 = 8,354.27 : x
  2. Step 2: Convert to fraction form
    12,312.81/18,469.10 = 8,354.27/x
  3. Step 3: Cross multiply
    12,312.81x = 18,469.10 × 8,354.27
  4. Step 4: Simplify right side
    12,312.81x = 154,295,915.12
  5. Step 5: Solve for x
    x = 154,295,915.12/12,312.81
  6. Step 6: Final answer
    x = 12,531.33

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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.