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Finding the Fourth Proportional to 11,907.36, 17,861.60 and 9,823.50

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Solution

The fourth proportional to 11,907.36, 17,861.60 and 9,823.50 is: 14,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.36 : 17,861.60 = 9,823.50 : x
  2. Step 2: Convert to fraction form
    11,907.36/17,861.60 = 9,823.50/x
  3. Step 3: Cross multiply
    11,907.36x = 17,861.60 × 9,823.50
  4. Step 4: Simplify right side
    11,907.36x = 175,463,427.60
  5. Step 5: Solve for x
    x = 175,463,427.60/11,907.36
  6. Step 6: Final answer
    x = 14,735.71

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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.