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Finding the Fourth Proportional to 13,414.34, 18,511.86 and 8,381.48

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Solution

The fourth proportional to 13,414.34, 18,511.86 and 8,381.48 is: 11,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.34 : 18,511.86 = 8,381.48 : x
  2. Step 2: Convert to fraction form
    13,414.34/18,511.86 = 8,381.48/x
  3. Step 3: Cross multiply
    13,414.34x = 18,511.86 × 8,381.48
  4. Step 4: Simplify right side
    13,414.34x = 155,156,803.78
  5. Step 5: Solve for x
    x = 155,156,803.78/13,414.34
  6. Step 6: Final answer
    x = 11,566.49

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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.