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Finding the Fourth Proportional to 22,475.07, 33,717.87 and 7,684.11

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Solution

The fourth proportional to 22,475.07, 33,717.87 and 7,684.11 is: 11,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475.07 : 33,717.87 = 7,684.11 : x
  2. Step 2: Convert to fraction form
    22,475.07/33,717.87 = 7,684.11/x
  3. Step 3: Cross multiply
    22,475.07x = 33,717.87 × 7,684.11
  4. Step 4: Simplify right side
    22,475.07x = 259,091,822.05
  5. Step 5: Solve for x
    x = 259,091,822.05/22,475.07
  6. Step 6: Final answer
    x = 11,527.97

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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.