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Finding the Fourth Proportional to 13,738.06, 18,958.53 and 7,450.44

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Solution

The fourth proportional to 13,738.06, 18,958.53 and 7,450.44 is: 10,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.06 : 18,958.53 = 7,450.44 : x
  2. Step 2: Convert to fraction form
    13,738.06/18,958.53 = 7,450.44/x
  3. Step 3: Cross multiply
    13,738.06x = 18,958.53 × 7,450.44
  4. Step 4: Simplify right side
    13,738.06x = 141,249,295.46
  5. Step 5: Solve for x
    x = 141,249,295.46/13,738.06
  6. Step 6: Final answer
    x = 10,281.60

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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.