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Finding the Fourth Proportional to 23,561.34, 35,342.04 and 7,977.78

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Solution

The fourth proportional to 23,561.34, 35,342.04 and 7,977.78 is: 11,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.34 : 35,342.04 = 7,977.78 : x
  2. Step 2: Convert to fraction form
    23,561.34/35,342.04 = 7,977.78/x
  3. Step 3: Cross multiply
    23,561.34x = 35,342.04 × 7,977.78
  4. Step 4: Simplify right side
    23,561.34x = 281,951,019.87
  5. Step 5: Solve for x
    x = 281,951,019.87/23,561.34
  6. Step 6: Final answer
    x = 11,966.68

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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.