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Finding the Fourth Proportional to 14,293.40, 21,463.86 and 9,643.33

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Solution

The fourth proportional to 14,293.40, 21,463.86 and 9,643.33 is: 14,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.40 : 21,463.86 = 9,643.33 : x
  2. Step 2: Convert to fraction form
    14,293.40/21,463.86 = 9,643.33/x
  3. Step 3: Cross multiply
    14,293.40x = 21,463.86 × 9,643.33
  4. Step 4: Simplify right side
    14,293.40x = 206,982,977.73
  5. Step 5: Solve for x
    x = 206,982,977.73/14,293.40
  6. Step 6: Final answer
    x = 14,481.02

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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.