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Finding the Fourth Proportional to 14,139.45, 19,511.69 and 8,474.42

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Solution

The fourth proportional to 14,139.45, 19,511.69 and 8,474.42 is: 11,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139.45 : 19,511.69 = 8,474.42 : x
  2. Step 2: Convert to fraction form
    14,139.45/19,511.69 = 8,474.42/x
  3. Step 3: Cross multiply
    14,139.45x = 19,511.69 × 8,474.42
  4. Step 4: Simplify right side
    14,139.45x = 165,350,262.38
  5. Step 5: Solve for x
    x = 165,350,262.38/14,139.45
  6. Step 6: Final answer
    x = 11,694.25

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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.