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Finding the Fourth Proportional to 10,827.34, 16,231.29 and 8,990.26

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Solution

The fourth proportional to 10,827.34, 16,231.29 and 8,990.26 is: 13,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.34 : 16,231.29 = 8,990.26 : x
  2. Step 2: Convert to fraction form
    10,827.34/16,231.29 = 8,990.26/x
  3. Step 3: Cross multiply
    10,827.34x = 16,231.29 × 8,990.26
  4. Step 4: Simplify right side
    10,827.34x = 145,923,517.24
  5. Step 5: Solve for x
    x = 145,923,517.24/10,827.34
  6. Step 6: Final answer
    x = 13,477.32

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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.