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Finding the Fourth Proportional to 23,238, 34,872.36 and 10,926.96

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Solution

The fourth proportional to 23,238, 34,872.36 and 10,926.96 is: 16,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238 : 34,872.36 = 10,926.96 : x
  2. Step 2: Convert to fraction form
    23,238/34,872.36 = 10,926.96/x
  3. Step 3: Cross multiply
    23,238x = 34,872.36 × 10,926.96
  4. Step 4: Simplify right side
    23,238x = 381,048,882.83
  5. Step 5: Solve for x
    x = 381,048,882.83/23,238
  6. Step 6: Final answer
    x = 16,397.66

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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.