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Finding the Fourth Proportional to 13,996.44, 19,314.18 and 7,708.82

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Solution

The fourth proportional to 13,996.44, 19,314.18 and 7,708.82 is: 10,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.44 : 19,314.18 = 7,708.82 : x
  2. Step 2: Convert to fraction form
    13,996.44/19,314.18 = 7,708.82/x
  3. Step 3: Cross multiply
    13,996.44x = 19,314.18 × 7,708.82
  4. Step 4: Simplify right side
    13,996.44x = 148,889,440.50
  5. Step 5: Solve for x
    x = 148,889,440.50/13,996.44
  6. Step 6: Final answer
    x = 10,637.67

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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.