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Finding the Fourth Proportional to 12,984.12, 17,913.36 and 8,204.40

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Solution

The fourth proportional to 12,984.12, 17,913.36 and 8,204.40 is: 11,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.12 : 17,913.36 = 8,204.40 : x
  2. Step 2: Convert to fraction form
    12,984.12/17,913.36 = 8,204.40/x
  3. Step 3: Cross multiply
    12,984.12x = 17,913.36 × 8,204.40
  4. Step 4: Simplify right side
    12,984.12x = 146,968,370.78
  5. Step 5: Solve for x
    x = 146,968,370.78/12,984.12
  6. Step 6: Final answer
    x = 11,319.09

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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.