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Finding the Fourth Proportional to 13,523.76, 18,662.94 and 7,474.75

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Solution

The fourth proportional to 13,523.76, 18,662.94 and 7,474.75 is: 10,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.76 : 18,662.94 = 7,474.75 : x
  2. Step 2: Convert to fraction form
    13,523.76/18,662.94 = 7,474.75/x
  3. Step 3: Cross multiply
    13,523.76x = 18,662.94 × 7,474.75
  4. Step 4: Simplify right side
    13,523.76x = 139,500,764.11
  5. Step 5: Solve for x
    x = 139,500,764.11/13,523.76
  6. Step 6: Final answer
    x = 10,315.24

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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.