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Finding the Fourth Proportional to 27,188.37, 40,774.72 and 7,467.57

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Solution

The fourth proportional to 27,188.37, 40,774.72 and 7,467.57 is: 11,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.37 : 40,774.72 = 7,467.57 : x
  2. Step 2: Convert to fraction form
    27,188.37/40,774.72 = 7,467.57/x
  3. Step 3: Cross multiply
    27,188.37x = 40,774.72 × 7,467.57
  4. Step 4: Simplify right side
    27,188.37x = 304,488,075.83
  5. Step 5: Solve for x
    x = 304,488,075.83/27,188.37
  6. Step 6: Final answer
    x = 11,199.20

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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.