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Finding the Fourth Proportional to 20,277.98, 30,414.57 and 6,237.98

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Solution

The fourth proportional to 20,277.98, 30,414.57 and 6,237.98 is: 9,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.98 : 30,414.57 = 6,237.98 : x
  2. Step 2: Convert to fraction form
    20,277.98/30,414.57 = 6,237.98/x
  3. Step 3: Cross multiply
    20,277.98x = 30,414.57 × 6,237.98
  4. Step 4: Simplify right side
    20,277.98x = 189,725,479.37
  5. Step 5: Solve for x
    x = 189,725,479.37/20,277.98
  6. Step 6: Final answer
    x = 9,356.23

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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.