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Finding the Fourth Proportional to 13,274.42, 18,318.38 and 7,306.07

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Solution

The fourth proportional to 13,274.42, 18,318.38 and 7,306.07 is: 10,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.42 : 18,318.38 = 7,306.07 : x
  2. Step 2: Convert to fraction form
    13,274.42/18,318.38 = 7,306.07/x
  3. Step 3: Cross multiply
    13,274.42x = 18,318.38 × 7,306.07
  4. Step 4: Simplify right side
    13,274.42x = 133,835,238.44
  5. Step 5: Solve for x
    x = 133,835,238.44/13,274.42
  6. Step 6: Final answer
    x = 10,082.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.