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Finding the Fourth Proportional to 23,678.22, 35,523.10 and 7,883.22

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Solution

The fourth proportional to 23,678.22, 35,523.10 and 7,883.22 is: 11,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.22 : 35,523.10 = 7,883.22 : x
  2. Step 2: Convert to fraction form
    23,678.22/35,523.10 = 7,883.22/x
  3. Step 3: Cross multiply
    23,678.22x = 35,523.10 × 7,883.22
  4. Step 4: Simplify right side
    23,678.22x = 280,036,412.38
  5. Step 5: Solve for x
    x = 280,036,412.38/23,678.22
  6. Step 6: Final answer
    x = 11,826.75

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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.