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Finding the Fourth Proportional to 12,006.30, 18,009.45 and 6,174.30

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Solution

The fourth proportional to 12,006.30, 18,009.45 and 6,174.30 is: 9,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.30 : 18,009.45 = 6,174.30 : x
  2. Step 2: Convert to fraction form
    12,006.30/18,009.45 = 6,174.30/x
  3. Step 3: Cross multiply
    12,006.30x = 18,009.45 × 6,174.30
  4. Step 4: Simplify right side
    12,006.30x = 111,195,747.14
  5. Step 5: Solve for x
    x = 111,195,747.14/12,006.30
  6. Step 6: Final answer
    x = 9,261.45

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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.