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Finding the Fourth Proportional to 16,524.32, 22,794 and 10,232.24

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Solution

The fourth proportional to 16,524.32, 22,794 and 10,232.24 is: 14,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.32 : 22,794 = 10,232.24 : x
  2. Step 2: Convert to fraction form
    16,524.32/22,794 = 10,232.24/x
  3. Step 3: Cross multiply
    16,524.32x = 22,794 × 10,232.24
  4. Step 4: Simplify right side
    16,524.32x = 233,233,678.56
  5. Step 5: Solve for x
    x = 233,233,678.56/16,524.32
  6. Step 6: Final answer
    x = 14,114.57

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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.