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Finding the Fourth Proportional to 17,719.99, 26,576.32 and 7,852.97

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Solution

The fourth proportional to 17,719.99, 26,576.32 and 7,852.97 is: 11,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.99 : 26,576.32 = 7,852.97 : x
  2. Step 2: Convert to fraction form
    17,719.99/26,576.32 = 7,852.97/x
  3. Step 3: Cross multiply
    17,719.99x = 26,576.32 × 7,852.97
  4. Step 4: Simplify right side
    17,719.99x = 208,703,043.67
  5. Step 5: Solve for x
    x = 208,703,043.67/17,719.99
  6. Step 6: Final answer
    x = 11,777.83

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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.