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Finding the Fourth Proportional to 13,093.30, 19,641.60 and 4,209.22

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Solution

The fourth proportional to 13,093.30, 19,641.60 and 4,209.22 is: 6,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.30 : 19,641.60 = 4,209.22 : x
  2. Step 2: Convert to fraction form
    13,093.30/19,641.60 = 4,209.22/x
  3. Step 3: Cross multiply
    13,093.30x = 19,641.60 × 4,209.22
  4. Step 4: Simplify right side
    13,093.30x = 82,675,815.55
  5. Step 5: Solve for x
    x = 82,675,815.55/13,093.30
  6. Step 6: Final answer
    x = 6,314.36

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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.