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Finding the Fourth Proportional to 14,396.12, 19,866.86 and 8,431.28

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Solution

The fourth proportional to 14,396.12, 19,866.86 and 8,431.28 is: 11,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.12 : 19,866.86 = 8,431.28 : x
  2. Step 2: Convert to fraction form
    14,396.12/19,866.86 = 8,431.28/x
  3. Step 3: Cross multiply
    14,396.12x = 19,866.86 × 8,431.28
  4. Step 4: Simplify right side
    14,396.12x = 167,503,059.38
  5. Step 5: Solve for x
    x = 167,503,059.38/14,396.12
  6. Step 6: Final answer
    x = 11,635.29

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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.