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Finding the Fourth Proportional to 12,009, 18,019.98 and 5,853

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Solution

The fourth proportional to 12,009, 18,019.98 and 5,853 is: 8,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009 : 18,019.98 = 5,853 : x
  2. Step 2: Convert to fraction form
    12,009/18,019.98 = 5,853/x
  3. Step 3: Cross multiply
    12,009x = 18,019.98 × 5,853
  4. Step 4: Simplify right side
    12,009x = 105,470,942.94
  5. Step 5: Solve for x
    x = 105,470,942.94/12,009
  6. Step 6: Final answer
    x = 8,782.66

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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.