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Finding the Fourth Proportional to 17,723, 24,457.74 and 11,099

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Solution

The fourth proportional to 17,723, 24,457.74 and 11,099 is: 15,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723 : 24,457.74 = 11,099 : x
  2. Step 2: Convert to fraction form
    17,723/24,457.74 = 11,099/x
  3. Step 3: Cross multiply
    17,723x = 24,457.74 × 11,099
  4. Step 4: Simplify right side
    17,723x = 271,456,456.26
  5. Step 5: Solve for x
    x = 271,456,456.26/17,723
  6. Step 6: Final answer
    x = 15,316.62

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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.