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Finding the Fourth Proportional to 17,651.64, 24,362.70 and 10,940.24

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Solution

The fourth proportional to 17,651.64, 24,362.70 and 10,940.24 is: 15,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.64 : 24,362.70 = 10,940.24 : x
  2. Step 2: Convert to fraction form
    17,651.64/24,362.70 = 10,940.24/x
  3. Step 3: Cross multiply
    17,651.64x = 24,362.70 × 10,940.24
  4. Step 4: Simplify right side
    17,651.64x = 266,533,785.05
  5. Step 5: Solve for x
    x = 266,533,785.05/17,651.64
  6. Step 6: Final answer
    x = 15,099.66

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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.