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Finding the Fourth Proportional to 17,891.42, 24,690.34 and 9,824.54

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Solution

The fourth proportional to 17,891.42, 24,690.34 and 9,824.54 is: 13,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.42 : 24,690.34 = 9,824.54 : x
  2. Step 2: Convert to fraction form
    17,891.42/24,690.34 = 9,824.54/x
  3. Step 3: Cross multiply
    17,891.42x = 24,690.34 × 9,824.54
  4. Step 4: Simplify right side
    17,891.42x = 242,571,232.94
  5. Step 5: Solve for x
    x = 242,571,232.94/17,891.42
  6. Step 6: Final answer
    x = 13,557.96

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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.