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Finding the Fourth Proportional to 17,954.88, 24,777.30 and 9,996.94

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Solution

The fourth proportional to 17,954.88, 24,777.30 and 9,996.94 is: 13,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954.88 : 24,777.30 = 9,996.94 : x
  2. Step 2: Convert to fraction form
    17,954.88/24,777.30 = 9,996.94/x
  3. Step 3: Cross multiply
    17,954.88x = 24,777.30 × 9,996.94
  4. Step 4: Simplify right side
    17,954.88x = 247,697,181.46
  5. Step 5: Solve for x
    x = 247,697,181.46/17,954.88
  6. Step 6: Final answer
    x = 13,795.54

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1.5x scale

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.