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Finding the Fourth Proportional to 14,285.58, 21,419.73 and 9,654.54

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Solution

The fourth proportional to 14,285.58, 21,419.73 and 9,654.54 is: 14,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.58 : 21,419.73 = 9,654.54 : x
  2. Step 2: Convert to fraction form
    14,285.58/21,419.73 = 9,654.54/x
  3. Step 3: Cross multiply
    14,285.58x = 21,419.73 × 9,654.54
  4. Step 4: Simplify right side
    14,285.58x = 206,797,640.07
  5. Step 5: Solve for x
    x = 206,797,640.07/14,285.58
  6. Step 6: Final answer
    x = 14,475.97

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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.