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Finding the Fourth Proportional to 12,131.44, 16,737.36 and 9,889.45

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Solution

The fourth proportional to 12,131.44, 16,737.36 and 9,889.45 is: 13,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.44 : 16,737.36 = 9,889.45 : x
  2. Step 2: Convert to fraction form
    12,131.44/16,737.36 = 9,889.45/x
  3. Step 3: Cross multiply
    12,131.44x = 16,737.36 × 9,889.45
  4. Step 4: Simplify right side
    12,131.44x = 165,523,284.85
  5. Step 5: Solve for x
    x = 165,523,284.85/12,131.44
  6. Step 6: Final answer
    x = 13,644.16

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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.