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Finding the Fourth Proportional to 21,465.28, 32,206.78 and 9,451.26

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Solution

The fourth proportional to 21,465.28, 32,206.78 and 9,451.26 is: 14,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.28 : 32,206.78 = 9,451.26 : x
  2. Step 2: Convert to fraction form
    21,465.28/32,206.78 = 9,451.26/x
  3. Step 3: Cross multiply
    21,465.28x = 32,206.78 × 9,451.26
  4. Step 4: Simplify right side
    21,465.28x = 304,394,651.54
  5. Step 5: Solve for x
    x = 304,394,651.54/21,465.28
  6. Step 6: Final answer
    x = 14,180.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.