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Finding the Fourth Proportional to 20,175.60, 30,267.50 and 7,029

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Solution

The fourth proportional to 20,175.60, 30,267.50 and 7,029 is: 10,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.60 : 30,267.50 = 7,029 : x
  2. Step 2: Convert to fraction form
    20,175.60/30,267.50 = 7,029/x
  3. Step 3: Cross multiply
    20,175.60x = 30,267.50 × 7,029
  4. Step 4: Simplify right side
    20,175.60x = 212,750,257.50
  5. Step 5: Solve for x
    x = 212,750,257.50/20,175.60
  6. Step 6: Final answer
    x = 10,544.93

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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.