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Finding the Fourth Proportional to 18,049.64, 24,907.48 and 9,982.84

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Solution

The fourth proportional to 18,049.64, 24,907.48 and 9,982.84 is: 13,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,049.64 : 24,907.48 = 9,982.84 : x
  2. Step 2: Convert to fraction form
    18,049.64/24,907.48 = 9,982.84/x
  3. Step 3: Cross multiply
    18,049.64x = 24,907.48 × 9,982.84
  4. Step 4: Simplify right side
    18,049.64x = 248,647,387.64
  5. Step 5: Solve for x
    x = 248,647,387.64/18,049.64
  6. Step 6: Final answer
    x = 13,775.75

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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.