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Finding the Fourth Proportional to 14,231.84, 19,640.70 and 8,265.38

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Solution

The fourth proportional to 14,231.84, 19,640.70 and 8,265.38 is: 11,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.84 : 19,640.70 = 8,265.38 : x
  2. Step 2: Convert to fraction form
    14,231.84/19,640.70 = 8,265.38/x
  3. Step 3: Cross multiply
    14,231.84x = 19,640.70 × 8,265.38
  4. Step 4: Simplify right side
    14,231.84x = 162,337,848.97
  5. Step 5: Solve for x
    x = 162,337,848.97/14,231.84
  6. Step 6: Final answer
    x = 11,406.67

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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.