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Finding the Fourth Proportional to 13,705.58, 20,546.48 and 6,675.84

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Solution

The fourth proportional to 13,705.58, 20,546.48 and 6,675.84 is: 10,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.58 : 20,546.48 = 6,675.84 : x
  2. Step 2: Convert to fraction form
    13,705.58/20,546.48 = 6,675.84/x
  3. Step 3: Cross multiply
    13,705.58x = 20,546.48 × 6,675.84
  4. Step 4: Simplify right side
    13,705.58x = 137,165,013.04
  5. Step 5: Solve for x
    x = 137,165,013.04/13,705.58
  6. Step 6: Final answer
    x = 10,007.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.