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Finding the Fourth Proportional to 19,542.75, 29,353.49 and 11,660.67

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Solution

The fourth proportional to 19,542.75, 29,353.49 and 11,660.67 is: 17,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.75 : 29,353.49 = 11,660.67 : x
  2. Step 2: Convert to fraction form
    19,542.75/29,353.49 = 11,660.67/x
  3. Step 3: Cross multiply
    19,542.75x = 29,353.49 × 11,660.67
  4. Step 4: Simplify right side
    19,542.75x = 342,281,301.93
  5. Step 5: Solve for x
    x = 342,281,301.93/19,542.75
  6. Step 6: Final answer
    x = 17,514.49

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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.