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Finding the Fourth Proportional to 12,713.49, 19,075.50 and 6,863.22

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Solution

The fourth proportional to 12,713.49, 19,075.50 and 6,863.22 is: 10,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.49 : 19,075.50 = 6,863.22 : x
  2. Step 2: Convert to fraction form
    12,713.49/19,075.50 = 6,863.22/x
  3. Step 3: Cross multiply
    12,713.49x = 19,075.50 × 6,863.22
  4. Step 4: Simplify right side
    12,713.49x = 130,919,353.11
  5. Step 5: Solve for x
    x = 130,919,353.11/12,713.49
  6. Step 6: Final answer
    x = 10,297.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.