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Finding the Fourth Proportional to 17,728.92, 24,464.52 and 9,771.48

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Solution

The fourth proportional to 17,728.92, 24,464.52 and 9,771.48 is: 13,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.92 : 24,464.52 = 9,771.48 : x
  2. Step 2: Convert to fraction form
    17,728.92/24,464.52 = 9,771.48/x
  3. Step 3: Cross multiply
    17,728.92x = 24,464.52 × 9,771.48
  4. Step 4: Simplify right side
    17,728.92x = 239,054,567.89
  5. Step 5: Solve for x
    x = 239,054,567.89/17,728.92
  6. Step 6: Final answer
    x = 13,483.88

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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.