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Finding the Fourth Proportional to 17,474, 24,114.66 and 10,022

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Solution

The fourth proportional to 17,474, 24,114.66 and 10,022 is: 13,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474 : 24,114.66 = 10,022 : x
  2. Step 2: Convert to fraction form
    17,474/24,114.66 = 10,022/x
  3. Step 3: Cross multiply
    17,474x = 24,114.66 × 10,022
  4. Step 4: Simplify right side
    17,474x = 241,677,122.52
  5. Step 5: Solve for x
    x = 241,677,122.52/17,474
  6. Step 6: Final answer
    x = 13,830.67

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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.