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Finding the Fourth Proportional to 19,286.12, 26,614.50 and 10,902.44

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Solution

The fourth proportional to 19,286.12, 26,614.50 and 10,902.44 is: 15,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.12 : 26,614.50 = 10,902.44 : x
  2. Step 2: Convert to fraction form
    19,286.12/26,614.50 = 10,902.44/x
  3. Step 3: Cross multiply
    19,286.12x = 26,614.50 × 10,902.44
  4. Step 4: Simplify right side
    19,286.12x = 290,162,989.38
  5. Step 5: Solve for x
    x = 290,162,989.38/19,286.12
  6. Step 6: Final answer
    x = 15,045.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.