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Finding the Fourth Proportional to 23,232, 34,863.36 and 10,920.96

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Solution

The fourth proportional to 23,232, 34,863.36 and 10,920.96 is: 16,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232 : 34,863.36 = 10,920.96 : x
  2. Step 2: Convert to fraction form
    23,232/34,863.36 = 10,920.96/x
  3. Step 3: Cross multiply
    23,232x = 34,863.36 × 10,920.96
  4. Step 4: Simplify right side
    23,232x = 380,741,360.03
  5. Step 5: Solve for x
    x = 380,741,360.03/23,232
  6. Step 6: Final answer
    x = 16,388.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.