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Finding the Fourth Proportional to 19,604.16, 29,406 and 9,208.56

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Solution

The fourth proportional to 19,604.16, 29,406 and 9,208.56 is: 13,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.16 : 29,406 = 9,208.56 : x
  2. Step 2: Convert to fraction form
    19,604.16/29,406 = 9,208.56/x
  3. Step 3: Cross multiply
    19,604.16x = 29,406 × 9,208.56
  4. Step 4: Simplify right side
    19,604.16x = 270,786,915.36
  5. Step 5: Solve for x
    x = 270,786,915.36/19,604.16
  6. Step 6: Final answer
    x = 13,812.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.