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Finding the Fourth Proportional to 12,984.10, 17,922.81 and 8,678.14

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Solution

The fourth proportional to 12,984.10, 17,922.81 and 8,678.14 is: 11,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.10 : 17,922.81 = 8,678.14 : x
  2. Step 2: Convert to fraction form
    12,984.10/17,922.81 = 8,678.14/x
  3. Step 3: Cross multiply
    12,984.10x = 17,922.81 × 8,678.14
  4. Step 4: Simplify right side
    12,984.10x = 155,536,654.37
  5. Step 5: Solve for x
    x = 155,536,654.37/12,984.10
  6. Step 6: Final answer
    x = 11,979.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.