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Finding the Fourth Proportional to 19,443.50, 29,169.57 and 7,131.50

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Solution

The fourth proportional to 19,443.50, 29,169.57 and 7,131.50 is: 10,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443.50 : 29,169.57 = 7,131.50 : x
  2. Step 2: Convert to fraction form
    19,443.50/29,169.57 = 7,131.50/x
  3. Step 3: Cross multiply
    19,443.50x = 29,169.57 × 7,131.50
  4. Step 4: Simplify right side
    19,443.50x = 208,022,788.46
  5. Step 5: Solve for x
    x = 208,022,788.46/19,443.50
  6. Step 6: Final answer
    x = 10,698.83

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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.