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Finding the Fourth Proportional to 17,891.88, 24,689.70 and 9,933.84

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Solution

The fourth proportional to 17,891.88, 24,689.70 and 9,933.84 is: 13,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.88 : 24,689.70 = 9,933.84 : x
  2. Step 2: Convert to fraction form
    17,891.88/24,689.70 = 9,933.84/x
  3. Step 3: Cross multiply
    17,891.88x = 24,689.70 × 9,933.84
  4. Step 4: Simplify right side
    17,891.88x = 245,263,529.45
  5. Step 5: Solve for x
    x = 245,263,529.45/17,891.88
  6. Step 6: Final answer
    x = 13,708.09

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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.