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Finding the Fourth Proportional to 14,042.57, 19,370.14 and 9,568.33

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Solution

The fourth proportional to 14,042.57, 19,370.14 and 9,568.33 is: 13,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.57 : 19,370.14 = 9,568.33 : x
  2. Step 2: Convert to fraction form
    14,042.57/19,370.14 = 9,568.33/x
  3. Step 3: Cross multiply
    14,042.57x = 19,370.14 × 9,568.33
  4. Step 4: Simplify right side
    14,042.57x = 185,339,819.32
  5. Step 5: Solve for x
    x = 185,339,819.32/14,042.57
  6. Step 6: Final answer
    x = 13,198.43

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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.