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Finding the Fourth Proportional to 21,496.27, 32,246 and 9,003.73

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Solution

The fourth proportional to 21,496.27, 32,246 and 9,003.73 is: 13,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.27 : 32,246 = 9,003.73 : x
  2. Step 2: Convert to fraction form
    21,496.27/32,246 = 9,003.73/x
  3. Step 3: Cross multiply
    21,496.27x = 32,246 × 9,003.73
  4. Step 4: Simplify right side
    21,496.27x = 290,334,277.58
  5. Step 5: Solve for x
    x = 290,334,277.58/21,496.27
  6. Step 6: Final answer
    x = 13,506.26

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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.