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Finding the Fourth Proportional to 23,814, 32,863.32 and 13,204.32

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Solution

The fourth proportional to 23,814, 32,863.32 and 13,204.32 is: 18,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814 : 32,863.32 = 13,204.32 : x
  2. Step 2: Convert to fraction form
    23,814/32,863.32 = 13,204.32/x
  3. Step 3: Cross multiply
    23,814x = 32,863.32 × 13,204.32
  4. Step 4: Simplify right side
    23,814x = 433,937,670.30
  5. Step 5: Solve for x
    x = 433,937,670.30/23,814
  6. Step 6: Final answer
    x = 18,221.96

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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.