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Finding the Fourth Proportional to 13,706.72, 20,557.38 and 6,586.82

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Solution

The fourth proportional to 13,706.72, 20,557.38 and 6,586.82 is: 9,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.72 : 20,557.38 = 6,586.82 : x
  2. Step 2: Convert to fraction form
    13,706.72/20,557.38 = 6,586.82/x
  3. Step 3: Cross multiply
    13,706.72x = 20,557.38 × 6,586.82
  4. Step 4: Simplify right side
    13,706.72x = 135,407,761.73
  5. Step 5: Solve for x
    x = 135,407,761.73/13,706.72
  6. Step 6: Final answer
    x = 9,878.93

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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.