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Finding the Fourth Proportional to 13,414.46, 18,511.02 and 7,363.76

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Solution

The fourth proportional to 13,414.46, 18,511.02 and 7,363.76 is: 10,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.46 : 18,511.02 = 7,363.76 : x
  2. Step 2: Convert to fraction form
    13,414.46/18,511.02 = 7,363.76/x
  3. Step 3: Cross multiply
    13,414.46x = 18,511.02 × 7,363.76
  4. Step 4: Simplify right side
    13,414.46x = 136,310,708.64
  5. Step 5: Solve for x
    x = 136,310,708.64/13,414.46
  6. Step 6: Final answer
    x = 10,161.48

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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.