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Finding the Fourth Proportional to 13,706.16, 18,914.48 and 7,418.56

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Solution

The fourth proportional to 13,706.16, 18,914.48 and 7,418.56 is: 10,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.16 : 18,914.48 = 7,418.56 : x
  2. Step 2: Convert to fraction form
    13,706.16/18,914.48 = 7,418.56/x
  3. Step 3: Cross multiply
    13,706.16x = 18,914.48 × 7,418.56
  4. Step 4: Simplify right side
    13,706.16x = 140,318,204.75
  5. Step 5: Solve for x
    x = 140,318,204.75/13,706.16
  6. Step 6: Final answer
    x = 10,237.60

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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.