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Finding the Fourth Proportional to 14,241.22, 19,648.07 and 8,270.71

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Solution

The fourth proportional to 14,241.22, 19,648.07 and 8,270.71 is: 11,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.22 : 19,648.07 = 8,270.71 : x
  2. Step 2: Convert to fraction form
    14,241.22/19,648.07 = 8,270.71/x
  3. Step 3: Cross multiply
    14,241.22x = 19,648.07 × 8,270.71
  4. Step 4: Simplify right side
    14,241.22x = 162,503,429.57
  5. Step 5: Solve for x
    x = 162,503,429.57/14,241.22
  6. Step 6: Final answer
    x = 11,410.78

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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.