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Finding the Fourth Proportional to 23,923.50, 35,892.81 and 10,777.02

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Solution

The fourth proportional to 23,923.50, 35,892.81 and 10,777.02 is: 16,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,923.50 : 35,892.81 = 10,777.02 : x
  2. Step 2: Convert to fraction form
    23,923.50/35,892.81 = 10,777.02/x
  3. Step 3: Cross multiply
    23,923.50x = 35,892.81 × 10,777.02
  4. Step 4: Simplify right side
    23,923.50x = 386,817,531.23
  5. Step 5: Solve for x
    x = 386,817,531.23/23,923.50
  6. Step 6: Final answer
    x = 16,168.94

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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.