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Finding the Fourth Proportional to 13,151.34, 18,148.74 and 7,183

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Solution

The fourth proportional to 13,151.34, 18,148.74 and 7,183 is: 9,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.34 : 18,148.74 = 7,183 : x
  2. Step 2: Convert to fraction form
    13,151.34/18,148.74 = 7,183/x
  3. Step 3: Cross multiply
    13,151.34x = 18,148.74 × 7,183
  4. Step 4: Simplify right side
    13,151.34x = 130,362,399.42
  5. Step 5: Solve for x
    x = 130,362,399.42/13,151.34
  6. Step 6: Final answer
    x = 9,912.48

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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.