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Finding the Fourth Proportional to 20,167.20, 30,261.60 and 9,075.60

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Solution

The fourth proportional to 20,167.20, 30,261.60 and 9,075.60 is: 13,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.20 : 30,261.60 = 9,075.60 : x
  2. Step 2: Convert to fraction form
    20,167.20/30,261.60 = 9,075.60/x
  3. Step 3: Cross multiply
    20,167.20x = 30,261.60 × 9,075.60
  4. Step 4: Simplify right side
    20,167.20x = 274,642,176.96
  5. Step 5: Solve for x
    x = 274,642,176.96/20,167.20
  6. Step 6: Final answer
    x = 13,618.26

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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.