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Finding the Fourth Proportional to 13,274.87, 18,319.44 and 7,306.67

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Solution

The fourth proportional to 13,274.87, 18,319.44 and 7,306.67 is: 10,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.87 : 18,319.44 = 7,306.67 : x
  2. Step 2: Convert to fraction form
    13,274.87/18,319.44 = 7,306.67/x
  3. Step 3: Cross multiply
    13,274.87x = 18,319.44 × 7,306.67
  4. Step 4: Simplify right side
    13,274.87x = 133,854,011.07
  5. Step 5: Solve for x
    x = 133,854,011.07/13,274.87
  6. Step 6: Final answer
    x = 10,083.27

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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.