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Finding the Fourth Proportional to 13,075.40, 18,042.67 and 7,769.50

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Solution

The fourth proportional to 13,075.40, 18,042.67 and 7,769.50 is: 10,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.40 : 18,042.67 = 7,769.50 : x
  2. Step 2: Convert to fraction form
    13,075.40/18,042.67 = 7,769.50/x
  3. Step 3: Cross multiply
    13,075.40x = 18,042.67 × 7,769.50
  4. Step 4: Simplify right side
    13,075.40x = 140,182,524.57
  5. Step 5: Solve for x
    x = 140,182,524.57/13,075.40
  6. Step 6: Final answer
    x = 10,721.09

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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.