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Finding the Fourth Proportional to 23,832.77, 35,744.81 and 9,036.81

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Solution

The fourth proportional to 23,832.77, 35,744.81 and 9,036.81 is: 13,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.77 : 35,744.81 = 9,036.81 : x
  2. Step 2: Convert to fraction form
    23,832.77/35,744.81 = 9,036.81/x
  3. Step 3: Cross multiply
    23,832.77x = 35,744.81 × 9,036.81
  4. Step 4: Simplify right side
    23,832.77x = 323,019,011.27
  5. Step 5: Solve for x
    x = 323,019,011.27/23,832.77
  6. Step 6: Final answer
    x = 13,553.57

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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.