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Finding the Fourth Proportional to 11,647.86, 17,457.21 and 9,172.91

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Solution

The fourth proportional to 11,647.86, 17,457.21 and 9,172.91 is: 13,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.86 : 17,457.21 = 9,172.91 : x
  2. Step 2: Convert to fraction form
    11,647.86/17,457.21 = 9,172.91/x
  3. Step 3: Cross multiply
    11,647.86x = 17,457.21 × 9,172.91
  4. Step 4: Simplify right side
    11,647.86x = 160,133,283.03
  5. Step 5: Solve for x
    x = 160,133,283.03/11,647.86
  6. Step 6: Final answer
    x = 13,747.87

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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.