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Finding the Fourth Proportional to 12,092.36, 18,130.30 and 6,154.65

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Solution

The fourth proportional to 12,092.36, 18,130.30 and 6,154.65 is: 9,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.36 : 18,130.30 = 6,154.65 : x
  2. Step 2: Convert to fraction form
    12,092.36/18,130.30 = 6,154.65/x
  3. Step 3: Cross multiply
    12,092.36x = 18,130.30 × 6,154.65
  4. Step 4: Simplify right side
    12,092.36x = 111,585,635.51
  5. Step 5: Solve for x
    x = 111,585,635.51/12,092.36
  6. Step 6: Final answer
    x = 9,227.78

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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.