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Finding the Fourth Proportional to 13,144.56, 18,138.96 and 7,176

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Solution

The fourth proportional to 13,144.56, 18,138.96 and 7,176 is: 9,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.56 : 18,138.96 = 7,176 : x
  2. Step 2: Convert to fraction form
    13,144.56/18,138.96 = 7,176/x
  3. Step 3: Cross multiply
    13,144.56x = 18,138.96 × 7,176
  4. Step 4: Simplify right side
    13,144.56x = 130,165,176.96
  5. Step 5: Solve for x
    x = 130,165,176.96/13,144.56
  6. Step 6: Final answer
    x = 9,902.59

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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.