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Finding the Fourth Proportional to 12,153.40, 16,771.12 and 8,173.87

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Solution

The fourth proportional to 12,153.40, 16,771.12 and 8,173.87 is: 11,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.40 : 16,771.12 = 8,173.87 : x
  2. Step 2: Convert to fraction form
    12,153.40/16,771.12 = 8,173.87/x
  3. Step 3: Cross multiply
    12,153.40x = 16,771.12 × 8,173.87
  4. Step 4: Simplify right side
    12,153.40x = 137,084,954.63
  5. Step 5: Solve for x
    x = 137,084,954.63/12,153.40
  6. Step 6: Final answer
    x = 11,279.56

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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.