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Finding the Fourth Proportional to 13,137.12, 18,129.43 and 7,471.72

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Solution

The fourth proportional to 13,137.12, 18,129.43 and 7,471.72 is: 10,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.12 : 18,129.43 = 7,471.72 : x
  2. Step 2: Convert to fraction form
    13,137.12/18,129.43 = 7,471.72/x
  3. Step 3: Cross multiply
    13,137.12x = 18,129.43 × 7,471.72
  4. Step 4: Simplify right side
    13,137.12x = 135,458,024.72
  5. Step 5: Solve for x
    x = 135,458,024.72/13,137.12
  6. Step 6: Final answer
    x = 10,311.09

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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.