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Finding the Fourth Proportional to 23,198.94, 34,804.89 and 7,627.50

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Solution

The fourth proportional to 23,198.94, 34,804.89 and 7,627.50 is: 11,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.94 : 34,804.89 = 7,627.50 : x
  2. Step 2: Convert to fraction form
    23,198.94/34,804.89 = 7,627.50/x
  3. Step 3: Cross multiply
    23,198.94x = 34,804.89 × 7,627.50
  4. Step 4: Simplify right side
    23,198.94x = 265,474,298.48
  5. Step 5: Solve for x
    x = 265,474,298.48/23,198.94
  6. Step 6: Final answer
    x = 11,443.38

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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.