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Finding the Fourth Proportional to 17,842.48, 24,611.21 and 11,466.90

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Solution

The fourth proportional to 17,842.48, 24,611.21 and 11,466.90 is: 15,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.48 : 24,611.21 = 11,466.90 : x
  2. Step 2: Convert to fraction form
    17,842.48/24,611.21 = 11,466.90/x
  3. Step 3: Cross multiply
    17,842.48x = 24,611.21 × 11,466.90
  4. Step 4: Simplify right side
    17,842.48x = 282,214,288.14
  5. Step 5: Solve for x
    x = 282,214,288.14/17,842.48
  6. Step 6: Final answer
    x = 15,816.99

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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.