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Finding the Fourth Proportional to 17,728.99, 24,466.15 and 9,771.23

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Solution

The fourth proportional to 17,728.99, 24,466.15 and 9,771.23 is: 13,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.99 : 24,466.15 = 9,771.23 : x
  2. Step 2: Convert to fraction form
    17,728.99/24,466.15 = 9,771.23/x
  3. Step 3: Cross multiply
    17,728.99x = 24,466.15 × 9,771.23
  4. Step 4: Simplify right side
    17,728.99x = 239,064,452.24
  5. Step 5: Solve for x
    x = 239,064,452.24/17,728.99
  6. Step 6: Final answer
    x = 13,484.38

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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.