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Finding the Fourth Proportional to 23,732.74, 35,600.93 and 7,091.49

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Solution

The fourth proportional to 23,732.74, 35,600.93 and 7,091.49 is: 10,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.74 : 35,600.93 = 7,091.49 : x
  2. Step 2: Convert to fraction form
    23,732.74/35,600.93 = 7,091.49/x
  3. Step 3: Cross multiply
    23,732.74x = 35,600.93 × 7,091.49
  4. Step 4: Simplify right side
    23,732.74x = 252,463,656.81
  5. Step 5: Solve for x
    x = 252,463,656.81/23,732.74
  6. Step 6: Final answer
    x = 10,637.78

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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.