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Finding the Fourth Proportional to 17,216.64, 23,768.64 and 16,162.56

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Solution

The fourth proportional to 17,216.64, 23,768.64 and 16,162.56 is: 22,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216.64 : 23,768.64 = 16,162.56 : x
  2. Step 2: Convert to fraction form
    17,216.64/23,768.64 = 16,162.56/x
  3. Step 3: Cross multiply
    17,216.64x = 23,768.64 × 16,162.56
  4. Step 4: Simplify right side
    17,216.64x = 384,162,070.12
  5. Step 5: Solve for x
    x = 384,162,070.12/17,216.64
  6. Step 6: Final answer
    x = 22,313.42

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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.