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Finding the Fourth Proportional to 23,872.64, 32,944.24 and 13,263.24

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Solution

The fourth proportional to 23,872.64, 32,944.24 and 13,263.24 is: 18,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.64 : 32,944.24 = 13,263.24 : x
  2. Step 2: Convert to fraction form
    23,872.64/32,944.24 = 13,263.24/x
  3. Step 3: Cross multiply
    23,872.64x = 32,944.24 × 13,263.24
  4. Step 4: Simplify right side
    23,872.64x = 436,947,361.74
  5. Step 5: Solve for x
    x = 436,947,361.74/23,872.64
  6. Step 6: Final answer
    x = 18,303.27

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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.