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Finding the Fourth Proportional to 13,384.76, 20,075.43 and 3,524.81

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Solution

The fourth proportional to 13,384.76, 20,075.43 and 3,524.81 is: 5,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.76 : 20,075.43 = 3,524.81 : x
  2. Step 2: Convert to fraction form
    13,384.76/20,075.43 = 3,524.81/x
  3. Step 3: Cross multiply
    13,384.76x = 20,075.43 × 3,524.81
  4. Step 4: Simplify right side
    13,384.76x = 70,761,976.04
  5. Step 5: Solve for x
    x = 70,761,976.04/13,384.76
  6. Step 6: Final answer
    x = 5,286.76

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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.