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Finding the Fourth Proportional to 13,697.76, 18,912.36 and 10,505.52

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Solution

The fourth proportional to 13,697.76, 18,912.36 and 10,505.52 is: 14,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.76 : 18,912.36 = 10,505.52 : x
  2. Step 2: Convert to fraction form
    13,697.76/18,912.36 = 10,505.52/x
  3. Step 3: Cross multiply
    13,697.76x = 18,912.36 × 10,505.52
  4. Step 4: Simplify right side
    13,697.76x = 198,684,176.23
  5. Step 5: Solve for x
    x = 198,684,176.23/13,697.76
  6. Step 6: Final answer
    x = 14,504.87

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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.