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Finding the Fourth Proportional to 17,782.44, 24,540 and 10,228.92

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Solution

The fourth proportional to 17,782.44, 24,540 and 10,228.92 is: 14,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.44 : 24,540 = 10,228.92 : x
  2. Step 2: Convert to fraction form
    17,782.44/24,540 = 10,228.92/x
  3. Step 3: Cross multiply
    17,782.44x = 24,540 × 10,228.92
  4. Step 4: Simplify right side
    17,782.44x = 251,017,696.80
  5. Step 5: Solve for x
    x = 251,017,696.80/17,782.44
  6. Step 6: Final answer
    x = 14,116.04

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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.