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Finding the Fourth Proportional to 19,988.50, 29,949.94 and 6,833.69

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Solution

The fourth proportional to 19,988.50, 29,949.94 and 6,833.69 is: 10,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988.50 : 29,949.94 = 6,833.69 : x
  2. Step 2: Convert to fraction form
    19,988.50/29,949.94 = 6,833.69/x
  3. Step 3: Cross multiply
    19,988.50x = 29,949.94 × 6,833.69
  4. Step 4: Simplify right side
    19,988.50x = 204,668,605.48
  5. Step 5: Solve for x
    x = 204,668,605.48/19,988.50
  6. Step 6: Final answer
    x = 10,239.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.