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Finding the Fourth Proportional to 17,146.12, 25,722.54 and 5,457.16

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Solution

The fourth proportional to 17,146.12, 25,722.54 and 5,457.16 is: 8,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.12 : 25,722.54 = 5,457.16 : x
  2. Step 2: Convert to fraction form
    17,146.12/25,722.54 = 5,457.16/x
  3. Step 3: Cross multiply
    17,146.12x = 25,722.54 × 5,457.16
  4. Step 4: Simplify right side
    17,146.12x = 140,372,016.39
  5. Step 5: Solve for x
    x = 140,372,016.39/17,146.12
  6. Step 6: Final answer
    x = 8,186.81

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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.