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Finding the Fourth Proportional to 15,093.85, 20,825.26 and 9,434.34

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Solution

The fourth proportional to 15,093.85, 20,825.26 and 9,434.34 is: 13,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.85 : 20,825.26 = 9,434.34 : x
  2. Step 2: Convert to fraction form
    15,093.85/20,825.26 = 9,434.34/x
  3. Step 3: Cross multiply
    15,093.85x = 20,825.26 × 9,434.34
  4. Step 4: Simplify right side
    15,093.85x = 196,472,586.38
  5. Step 5: Solve for x
    x = 196,472,586.38/15,093.85
  6. Step 6: Final answer
    x = 13,016.73

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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.