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Finding the Fourth Proportional to 13,771.44, 19,000.10 and 8,027.59

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Solution

The fourth proportional to 13,771.44, 19,000.10 and 8,027.59 is: 11,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.44 : 19,000.10 = 8,027.59 : x
  2. Step 2: Convert to fraction form
    13,771.44/19,000.10 = 8,027.59/x
  3. Step 3: Cross multiply
    13,771.44x = 19,000.10 × 8,027.59
  4. Step 4: Simplify right side
    13,771.44x = 152,524,985.33
  5. Step 5: Solve for x
    x = 152,524,985.33/13,771.44
  6. Step 6: Final answer
    x = 11,075.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.