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Finding the Fourth Proportional to 13,006.72, 19,512 and 3,771.52

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Solution

The fourth proportional to 13,006.72, 19,512 and 3,771.52 is: 5,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.72 : 19,512 = 3,771.52 : x
  2. Step 2: Convert to fraction form
    13,006.72/19,512 = 3,771.52/x
  3. Step 3: Cross multiply
    13,006.72x = 19,512 × 3,771.52
  4. Step 4: Simplify right side
    13,006.72x = 73,589,898.24
  5. Step 5: Solve for x
    x = 73,589,898.24/13,006.72
  6. Step 6: Final answer
    x = 5,657.84

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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.