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Finding the Fourth Proportional to 14,956.38, 20,639.67 and 8,241.84

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Solution

The fourth proportional to 14,956.38, 20,639.67 and 8,241.84 is: 11,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.38 : 20,639.67 = 8,241.84 : x
  2. Step 2: Convert to fraction form
    14,956.38/20,639.67 = 8,241.84/x
  3. Step 3: Cross multiply
    14,956.38x = 20,639.67 × 8,241.84
  4. Step 4: Simplify right side
    14,956.38x = 170,108,857.79
  5. Step 5: Solve for x
    x = 170,108,857.79/14,956.38
  6. Step 6: Final answer
    x = 11,373.67

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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.