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Finding the Fourth Proportional to 20,546.38, 30,837.04 and 8,075.12

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Solution

The fourth proportional to 20,546.38, 30,837.04 and 8,075.12 is: 12,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.38 : 30,837.04 = 8,075.12 : x
  2. Step 2: Convert to fraction form
    20,546.38/30,837.04 = 8,075.12/x
  3. Step 3: Cross multiply
    20,546.38x = 30,837.04 × 8,075.12
  4. Step 4: Simplify right side
    20,546.38x = 249,012,798.44
  5. Step 5: Solve for x
    x = 249,012,798.44/20,546.38
  6. Step 6: Final answer
    x = 12,119.55

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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.