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Finding the Fourth Proportional to 13,006.16, 19,508.12 and 3,645.44

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Solution

The fourth proportional to 13,006.16, 19,508.12 and 3,645.44 is: 5,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.16 : 19,508.12 = 3,645.44 : x
  2. Step 2: Convert to fraction form
    13,006.16/19,508.12 = 3,645.44/x
  3. Step 3: Cross multiply
    13,006.16x = 19,508.12 × 3,645.44
  4. Step 4: Simplify right side
    13,006.16x = 71,115,680.97
  5. Step 5: Solve for x
    x = 71,115,680.97/13,006.16
  6. Step 6: Final answer
    x = 5,467.85

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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.