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Finding the Fourth Proportional to 20,033.70, 30,017.52 and 6,878.94

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Solution

The fourth proportional to 20,033.70, 30,017.52 and 6,878.94 is: 10,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.70 : 30,017.52 = 6,878.94 : x
  2. Step 2: Convert to fraction form
    20,033.70/30,017.52 = 6,878.94/x
  3. Step 3: Cross multiply
    20,033.70x = 30,017.52 × 6,878.94
  4. Step 4: Simplify right side
    20,033.70x = 206,488,719.03
  5. Step 5: Solve for x
    x = 206,488,719.03/20,033.70
  6. Step 6: Final answer
    x = 10,307.07

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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.