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Finding the Fourth Proportional to 14,213.90, 19,613.54 and 8,243.40

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Solution

The fourth proportional to 14,213.90, 19,613.54 and 8,243.40 is: 11,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.90 : 19,613.54 = 8,243.40 : x
  2. Step 2: Convert to fraction form
    14,213.90/19,613.54 = 8,243.40/x
  3. Step 3: Cross multiply
    14,213.90x = 19,613.54 × 8,243.40
  4. Step 4: Simplify right side
    14,213.90x = 161,682,255.64
  5. Step 5: Solve for x
    x = 161,682,255.64/14,213.90
  6. Step 6: Final answer
    x = 11,374.94

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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.