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Finding the Fourth Proportional to 17,494.80, 24,137.40 and 9,940.80

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Solution

The fourth proportional to 17,494.80, 24,137.40 and 9,940.80 is: 13,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.80 : 24,137.40 = 9,940.80 : x
  2. Step 2: Convert to fraction form
    17,494.80/24,137.40 = 9,940.80/x
  3. Step 3: Cross multiply
    17,494.80x = 24,137.40 × 9,940.80
  4. Step 4: Simplify right side
    17,494.80x = 239,945,065.92
  5. Step 5: Solve for x
    x = 239,945,065.92/17,494.80
  6. Step 6: Final answer
    x = 13,715.22

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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.