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Finding the Fourth Proportional to 13,640.90, 18,824.13 and 8,335.70

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Solution

The fourth proportional to 13,640.90, 18,824.13 and 8,335.70 is: 11,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.90 : 18,824.13 = 8,335.70 : x
  2. Step 2: Convert to fraction form
    13,640.90/18,824.13 = 8,335.70/x
  3. Step 3: Cross multiply
    13,640.90x = 18,824.13 × 8,335.70
  4. Step 4: Simplify right side
    13,640.90x = 156,912,300.44
  5. Step 5: Solve for x
    x = 156,912,300.44/13,640.90
  6. Step 6: Final answer
    x = 11,503.08

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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.