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Finding the Fourth Proportional to 13,613.90, 18,787.16 and 7,948.22

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Solution

The fourth proportional to 13,613.90, 18,787.16 and 7,948.22 is: 10,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.90 : 18,787.16 = 7,948.22 : x
  2. Step 2: Convert to fraction form
    13,613.90/18,787.16 = 7,948.22/x
  3. Step 3: Cross multiply
    13,613.90x = 18,787.16 × 7,948.22
  4. Step 4: Simplify right side
    13,613.90x = 149,324,480.86
  5. Step 5: Solve for x
    x = 149,324,480.86/13,613.90
  6. Step 6: Final answer
    x = 10,968.53

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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.