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Finding the Fourth Proportional to 18,048.88, 24,906.72 and 9,982

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Solution

The fourth proportional to 18,048.88, 24,906.72 and 9,982 is: 13,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,048.88 : 24,906.72 = 9,982 : x
  2. Step 2: Convert to fraction form
    18,048.88/24,906.72 = 9,982/x
  3. Step 3: Cross multiply
    18,048.88x = 24,906.72 × 9,982
  4. Step 4: Simplify right side
    18,048.88x = 248,618,879.04
  5. Step 5: Solve for x
    x = 248,618,879.04/18,048.88
  6. Step 6: Final answer
    x = 13,774.76

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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.