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Finding the Fourth Proportional to 19,661.36, 29,491.85 and 7,971.80

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Solution

The fourth proportional to 19,661.36, 29,491.85 and 7,971.80 is: 11,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.36 : 29,491.85 = 7,971.80 : x
  2. Step 2: Convert to fraction form
    19,661.36/29,491.85 = 7,971.80/x
  3. Step 3: Cross multiply
    19,661.36x = 29,491.85 × 7,971.80
  4. Step 4: Simplify right side
    19,661.36x = 235,103,002.30
  5. Step 5: Solve for x
    x = 235,103,002.30/19,661.36
  6. Step 6: Final answer
    x = 11,957.62

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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.