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Finding the Fourth Proportional to 23,738, 32,758.08 and 16,944.56

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Solution

The fourth proportional to 23,738, 32,758.08 and 16,944.56 is: 23,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738 : 32,758.08 = 16,944.56 : x
  2. Step 2: Convert to fraction form
    23,738/32,758.08 = 16,944.56/x
  3. Step 3: Cross multiply
    23,738x = 32,758.08 × 16,944.56
  4. Step 4: Simplify right side
    23,738x = 555,071,252.04
  5. Step 5: Solve for x
    x = 555,071,252.04/23,738
  6. Step 6: Final answer
    x = 23,383.24

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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.