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Finding the Fourth Proportional to 14,297.92, 21,446.57 and 3,909.67

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Solution

The fourth proportional to 14,297.92, 21,446.57 and 3,909.67 is: 5,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.92 : 21,446.57 = 3,909.67 : x
  2. Step 2: Convert to fraction form
    14,297.92/21,446.57 = 3,909.67/x
  3. Step 3: Cross multiply
    14,297.92x = 21,446.57 × 3,909.67
  4. Step 4: Simplify right side
    14,297.92x = 83,848,967.49
  5. Step 5: Solve for x
    x = 83,848,967.49/14,297.92
  6. Step 6: Final answer
    x = 5,864.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.