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Finding the Fourth Proportional to 23,462.65, 35,190.31 and 7,667.56

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Solution

The fourth proportional to 23,462.65, 35,190.31 and 7,667.56 is: 11,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.65 : 35,190.31 = 7,667.56 : x
  2. Step 2: Convert to fraction form
    23,462.65/35,190.31 = 7,667.56/x
  3. Step 3: Cross multiply
    23,462.65x = 35,190.31 × 7,667.56
  4. Step 4: Simplify right side
    23,462.65x = 269,823,848.86
  5. Step 5: Solve for x
    x = 269,823,848.86/23,462.65
  6. Step 6: Final answer
    x = 11,500.14

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