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Finding the Fourth Proportional to 11,567.84, 17,375.24 and 10,211.90

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Solution

The fourth proportional to 11,567.84, 17,375.24 and 10,211.90 is: 15,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.84 : 17,375.24 = 10,211.90 : x
  2. Step 2: Convert to fraction form
    11,567.84/17,375.24 = 10,211.90/x
  3. Step 3: Cross multiply
    11,567.84x = 17,375.24 × 10,211.90
  4. Step 4: Simplify right side
    11,567.84x = 177,434,075.42
  5. Step 5: Solve for x
    x = 177,434,075.42/11,567.84
  6. Step 6: Final answer
    x = 15,338.57

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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.