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Finding the Fourth Proportional to 23,565.89, 35,344.81 and 7,771.09

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Solution

The fourth proportional to 23,565.89, 35,344.81 and 7,771.09 is: 11,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.89 : 35,344.81 = 7,771.09 : x
  2. Step 2: Convert to fraction form
    23,565.89/35,344.81 = 7,771.09/x
  3. Step 3: Cross multiply
    23,565.89x = 35,344.81 × 7,771.09
  4. Step 4: Simplify right side
    23,565.89x = 274,667,643.45
  5. Step 5: Solve for x
    x = 274,667,643.45/23,565.89
  6. Step 6: Final answer
    x = 11,655.31

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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.