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Finding the Fourth Proportional to 17,527.40, 24,181.60 and 11,243.24

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Solution

The fourth proportional to 17,527.40, 24,181.60 and 11,243.24 is: 15,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.40 : 24,181.60 = 11,243.24 : x
  2. Step 2: Convert to fraction form
    17,527.40/24,181.60 = 11,243.24/x
  3. Step 3: Cross multiply
    17,527.40x = 24,181.60 × 11,243.24
  4. Step 4: Simplify right side
    17,527.40x = 271,879,532.38
  5. Step 5: Solve for x
    x = 271,879,532.38/17,527.40
  6. Step 6: Final answer
    x = 15,511.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.