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Finding the Fourth Proportional to 13,613.73, 18,787.68 and 8,307

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Solution

The fourth proportional to 13,613.73, 18,787.68 and 8,307 is: 11,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.73 : 18,787.68 = 8,307 : x
  2. Step 2: Convert to fraction form
    13,613.73/18,787.68 = 8,307/x
  3. Step 3: Cross multiply
    13,613.73x = 18,787.68 × 8,307
  4. Step 4: Simplify right side
    13,613.73x = 156,069,257.76
  5. Step 5: Solve for x
    x = 156,069,257.76/13,613.73
  6. Step 6: Final answer
    x = 11,464.11

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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.