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Finding the Fourth Proportional to 12,311.34, 16,984.23 and 8,331.06

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Solution

The fourth proportional to 12,311.34, 16,984.23 and 8,331.06 is: 11,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.34 : 16,984.23 = 8,331.06 : x
  2. Step 2: Convert to fraction form
    12,311.34/16,984.23 = 8,331.06/x
  3. Step 3: Cross multiply
    12,311.34x = 16,984.23 × 8,331.06
  4. Step 4: Simplify right side
    12,311.34x = 141,496,639.18
  5. Step 5: Solve for x
    x = 141,496,639.18/12,311.34
  6. Step 6: Final answer
    x = 11,493.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.