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Finding the Fourth Proportional to 14,608.32, 20,173.50 and 10,143.60

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Solution

The fourth proportional to 14,608.32, 20,173.50 and 10,143.60 is: 14,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.32 : 20,173.50 = 10,143.60 : x
  2. Step 2: Convert to fraction form
    14,608.32/20,173.50 = 10,143.60/x
  3. Step 3: Cross multiply
    14,608.32x = 20,173.50 × 10,143.60
  4. Step 4: Simplify right side
    14,608.32x = 204,631,914.60
  5. Step 5: Solve for x
    x = 204,631,914.60/14,608.32
  6. Step 6: Final answer
    x = 14,007.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.