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Finding the Fourth Proportional to 23,820.32, 32,874 and 13,213.36

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Solution

The fourth proportional to 23,820.32, 32,874 and 13,213.36 is: 18,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.32 : 32,874 = 13,213.36 : x
  2. Step 2: Convert to fraction form
    23,820.32/32,874 = 13,213.36/x
  3. Step 3: Cross multiply
    23,820.32x = 32,874 × 13,213.36
  4. Step 4: Simplify right side
    23,820.32x = 434,375,996.64
  5. Step 5: Solve for x
    x = 434,375,996.64/23,820.32
  6. Step 6: Final answer
    x = 18,235.52

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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.