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Finding the Fourth Proportional to 13,706.75, 20,562.66 and 4,349.16

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Solution

The fourth proportional to 13,706.75, 20,562.66 and 4,349.16 is: 6,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.75 : 20,562.66 = 4,349.16 : x
  2. Step 2: Convert to fraction form
    13,706.75/20,562.66 = 4,349.16/x
  3. Step 3: Cross multiply
    13,706.75x = 20,562.66 × 4,349.16
  4. Step 4: Simplify right side
    13,706.75x = 89,430,298.37
  5. Step 5: Solve for x
    x = 89,430,298.37/13,706.75
  6. Step 6: Final answer
    x = 6,524.54

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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.