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Finding the Fourth Proportional to 14,212.77, 19,611.33 and 8,546.16

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Solution

The fourth proportional to 14,212.77, 19,611.33 and 8,546.16 is: 11,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.77 : 19,611.33 = 8,546.16 : x
  2. Step 2: Convert to fraction form
    14,212.77/19,611.33 = 8,546.16/x
  3. Step 3: Cross multiply
    14,212.77x = 19,611.33 × 8,546.16
  4. Step 4: Simplify right side
    14,212.77x = 167,601,563.99
  5. Step 5: Solve for x
    x = 167,601,563.99/14,212.77
  6. Step 6: Final answer
    x = 11,792.32

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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.