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Finding the Fourth Proportional to 13,075.68, 18,047.04 and 7,769.44

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Solution

The fourth proportional to 13,075.68, 18,047.04 and 7,769.44 is: 10,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.68 : 18,047.04 = 7,769.44 : x
  2. Step 2: Convert to fraction form
    13,075.68/18,047.04 = 7,769.44/x
  3. Step 3: Cross multiply
    13,075.68x = 18,047.04 × 7,769.44
  4. Step 4: Simplify right side
    13,075.68x = 140,215,394.46
  5. Step 5: Solve for x
    x = 140,215,394.46/13,075.68
  6. Step 6: Final answer
    x = 10,723.37

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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.