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Finding the Fourth Proportional to 19,987.26, 29,969.87 and 8,137.99

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Solution

The fourth proportional to 19,987.26, 29,969.87 and 8,137.99 is: 12,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.26 : 29,969.87 = 8,137.99 : x
  2. Step 2: Convert to fraction form
    19,987.26/29,969.87 = 8,137.99/x
  3. Step 3: Cross multiply
    19,987.26x = 29,969.87 × 8,137.99
  4. Step 4: Simplify right side
    19,987.26x = 243,894,499.13
  5. Step 5: Solve for x
    x = 243,894,499.13/19,987.26
  6. Step 6: Final answer
    x = 12,202.50

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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.