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Finding the Fourth Proportional to 12,000.48, 17,990.08 and 6,456.80

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Solution

The fourth proportional to 12,000.48, 17,990.08 and 6,456.80 is: 9,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.48 : 17,990.08 = 6,456.80 : x
  2. Step 2: Convert to fraction form
    12,000.48/17,990.08 = 6,456.80/x
  3. Step 3: Cross multiply
    12,000.48x = 17,990.08 × 6,456.80
  4. Step 4: Simplify right side
    12,000.48x = 116,158,348.54
  5. Step 5: Solve for x
    x = 116,158,348.54/12,000.48
  6. Step 6: Final answer
    x = 9,679.48

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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.