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Finding the Fourth Proportional to 14,654.54, 21,984.86 and 5,890.14

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Solution

The fourth proportional to 14,654.54, 21,984.86 and 5,890.14 is: 8,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.54 : 21,984.86 = 5,890.14 : x
  2. Step 2: Convert to fraction form
    14,654.54/21,984.86 = 5,890.14/x
  3. Step 3: Cross multiply
    14,654.54x = 21,984.86 × 5,890.14
  4. Step 4: Simplify right side
    14,654.54x = 129,493,918.01
  5. Step 5: Solve for x
    x = 129,493,918.01/14,654.54
  6. Step 6: Final answer
    x = 8,836.44

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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.