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Finding the Fourth Proportional to 13,667.10, 18,859.38 and 7,698.24

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Solution

The fourth proportional to 13,667.10, 18,859.38 and 7,698.24 is: 10,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.10 : 18,859.38 = 7,698.24 : x
  2. Step 2: Convert to fraction form
    13,667.10/18,859.38 = 7,698.24/x
  3. Step 3: Cross multiply
    13,667.10x = 18,859.38 × 7,698.24
  4. Step 4: Simplify right side
    13,667.10x = 145,184,033.49
  5. Step 5: Solve for x
    x = 145,184,033.49/13,667.10
  6. Step 6: Final answer
    x = 10,622.89

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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.