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Finding the Fourth Proportional to 22,667.50, 34,002.47 and 7,086.34

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Solution

The fourth proportional to 22,667.50, 34,002.47 and 7,086.34 is: 10,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.50 : 34,002.47 = 7,086.34 : x
  2. Step 2: Convert to fraction form
    22,667.50/34,002.47 = 7,086.34/x
  3. Step 3: Cross multiply
    22,667.50x = 34,002.47 × 7,086.34
  4. Step 4: Simplify right side
    22,667.50x = 240,953,063.26
  5. Step 5: Solve for x
    x = 240,953,063.26/22,667.50
  6. Step 6: Final answer
    x = 10,629.89

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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.