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Finding the Fourth Proportional to 13,274.40, 18,318.69 and 7,306.07

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Solution

The fourth proportional to 13,274.40, 18,318.69 and 7,306.07 is: 10,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.40 : 18,318.69 = 7,306.07 : x
  2. Step 2: Convert to fraction form
    13,274.40/18,318.69 = 7,306.07/x
  3. Step 3: Cross multiply
    13,274.40x = 18,318.69 × 7,306.07
  4. Step 4: Simplify right side
    13,274.40x = 133,837,594.92
  5. Step 5: Solve for x
    x = 133,837,594.92/13,274.40
  6. Step 6: Final answer
    x = 10,082.38

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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.