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Finding the Fourth Proportional to 12,667, 19,001.04 and 3,433

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Solution

The fourth proportional to 12,667, 19,001.04 and 3,433 is: 5,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667 : 19,001.04 = 3,433 : x
  2. Step 2: Convert to fraction form
    12,667/19,001.04 = 3,433/x
  3. Step 3: Cross multiply
    12,667x = 19,001.04 × 3,433
  4. Step 4: Simplify right side
    12,667x = 65,230,570.32
  5. Step 5: Solve for x
    x = 65,230,570.32/12,667
  6. Step 6: Final answer
    x = 5,149.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.