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Finding the Fourth Proportional to 13,705.70, 18,857.49 and 12,830.90

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Solution

The fourth proportional to 13,705.70, 18,857.49 and 12,830.90 is: 17,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.70 : 18,857.49 = 12,830.90 : x
  2. Step 2: Convert to fraction form
    13,705.70/18,857.49 = 12,830.90/x
  3. Step 3: Cross multiply
    13,705.70x = 18,857.49 × 12,830.90
  4. Step 4: Simplify right side
    13,705.70x = 241,958,568.44
  5. Step 5: Solve for x
    x = 241,958,568.44/13,705.70
  6. Step 6: Final answer
    x = 17,653.86

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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.