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Finding the Fourth Proportional to 13,478.05, 18,592.50 and 8,171.74

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Solution

The fourth proportional to 13,478.05, 18,592.50 and 8,171.74 is: 11,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.05 : 18,592.50 = 8,171.74 : x
  2. Step 2: Convert to fraction form
    13,478.05/18,592.50 = 8,171.74/x
  3. Step 3: Cross multiply
    13,478.05x = 18,592.50 × 8,171.74
  4. Step 4: Simplify right side
    13,478.05x = 151,933,075.95
  5. Step 5: Solve for x
    x = 151,933,075.95/13,478.05
  6. Step 6: Final answer
    x = 11,272.63

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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.