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Finding the Fourth Proportional to 14,213.28, 19,613.16 and 8,243.04

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Solution

The fourth proportional to 14,213.28, 19,613.16 and 8,243.04 is: 11,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.28 : 19,613.16 = 8,243.04 : x
  2. Step 2: Convert to fraction form
    14,213.28/19,613.16 = 8,243.04/x
  3. Step 3: Cross multiply
    14,213.28x = 19,613.16 × 8,243.04
  4. Step 4: Simplify right side
    14,213.28x = 161,672,062.41
  5. Step 5: Solve for x
    x = 161,672,062.41/14,213.28
  6. Step 6: Final answer
    x = 11,374.72

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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.