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Finding the Fourth Proportional to 12,004.70, 17,984.10 and 6,456.20

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Solution

The fourth proportional to 12,004.70, 17,984.10 and 6,456.20 is: 9,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.70 : 17,984.10 = 6,456.20 : x
  2. Step 2: Convert to fraction form
    12,004.70/17,984.10 = 6,456.20/x
  3. Step 3: Cross multiply
    12,004.70x = 17,984.10 × 6,456.20
  4. Step 4: Simplify right side
    12,004.70x = 116,108,946.42
  5. Step 5: Solve for x
    x = 116,108,946.42/12,004.70
  6. Step 6: Final answer
    x = 9,671.96

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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.