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Finding the Fourth Proportional to 19,668.50, 29,509.77 and 9,143.54

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Solution

The fourth proportional to 19,668.50, 29,509.77 and 9,143.54 is: 13,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668.50 : 29,509.77 = 9,143.54 : x
  2. Step 2: Convert to fraction form
    19,668.50/29,509.77 = 9,143.54/x
  3. Step 3: Cross multiply
    19,668.50x = 29,509.77 × 9,143.54
  4. Step 4: Simplify right side
    19,668.50x = 269,823,762.39
  5. Step 5: Solve for x
    x = 269,823,762.39/19,668.50
  6. Step 6: Final answer
    x = 13,718.57

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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.