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Finding the Fourth Proportional to 14,091.14, 19,433.04 and 8,786.46

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Solution

The fourth proportional to 14,091.14, 19,433.04 and 8,786.46 is: 12,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.14 : 19,433.04 = 8,786.46 : x
  2. Step 2: Convert to fraction form
    14,091.14/19,433.04 = 8,786.46/x
  3. Step 3: Cross multiply
    14,091.14x = 19,433.04 × 8,786.46
  4. Step 4: Simplify right side
    14,091.14x = 170,747,628.64
  5. Step 5: Solve for x
    x = 170,747,628.64/14,091.14
  6. Step 6: Final answer
    x = 12,117.38

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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.