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Finding the Fourth Proportional to 23,696.84, 32,703 and 14,268.44

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Solution

The fourth proportional to 23,696.84, 32,703 and 14,268.44 is: 19,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.84 : 32,703 = 14,268.44 : x
  2. Step 2: Convert to fraction form
    23,696.84/32,703 = 14,268.44/x
  3. Step 3: Cross multiply
    23,696.84x = 32,703 × 14,268.44
  4. Step 4: Simplify right side
    23,696.84x = 466,620,793.32
  5. Step 5: Solve for x
    x = 466,620,793.32/23,696.84
  6. Step 6: Final answer
    x = 19,691.27

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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.