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Finding the Fourth Proportional to 13,824.27, 19,072.71 and 8,445.24

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Solution

The fourth proportional to 13,824.27, 19,072.71 and 8,445.24 is: 11,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.27 : 19,072.71 = 8,445.24 : x
  2. Step 2: Convert to fraction form
    13,824.27/19,072.71 = 8,445.24/x
  3. Step 3: Cross multiply
    13,824.27x = 19,072.71 × 8,445.24
  4. Step 4: Simplify right side
    13,824.27x = 161,073,613.40
  5. Step 5: Solve for x
    x = 161,073,613.40/13,824.27
  6. Step 6: Final answer
    x = 11,651.51

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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.