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Finding the Fourth Proportional to 19,709.88, 29,556.66 and 8,015.16

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Solution

The fourth proportional to 19,709.88, 29,556.66 and 8,015.16 is: 12,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.88 : 29,556.66 = 8,015.16 : x
  2. Step 2: Convert to fraction form
    19,709.88/29,556.66 = 8,015.16/x
  3. Step 3: Cross multiply
    19,709.88x = 29,556.66 × 8,015.16
  4. Step 4: Simplify right side
    19,709.88x = 236,901,358.97
  5. Step 5: Solve for x
    x = 236,901,358.97/19,709.88
  6. Step 6: Final answer
    x = 12,019.42

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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.