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Finding the Fourth Proportional to 23,680.38, 32,679 and 13,070.64

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Solution

The fourth proportional to 23,680.38, 32,679 and 13,070.64 is: 18,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.38 : 32,679 = 13,070.64 : x
  2. Step 2: Convert to fraction form
    23,680.38/32,679 = 13,070.64/x
  3. Step 3: Cross multiply
    23,680.38x = 32,679 × 13,070.64
  4. Step 4: Simplify right side
    23,680.38x = 427,135,444.56
  5. Step 5: Solve for x
    x = 427,135,444.56/23,680.38
  6. Step 6: Final answer
    x = 18,037.52

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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.