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Finding the Fourth Proportional to 26,294.94, 36,286.47 and 14,358.38

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Solution

The fourth proportional to 26,294.94, 36,286.47 and 14,358.38 is: 19,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294.94 : 36,286.47 = 14,358.38 : x
  2. Step 2: Convert to fraction form
    26,294.94/36,286.47 = 14,358.38/x
  3. Step 3: Cross multiply
    26,294.94x = 36,286.47 × 14,358.38
  4. Step 4: Simplify right side
    26,294.94x = 521,014,743.69
  5. Step 5: Solve for x
    x = 521,014,743.69/26,294.94
  6. Step 6: Final answer
    x = 19,814.26

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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.