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Finding the Fourth Proportional to 12,194.51, 18,288.15 and 5,174.43

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Solution

The fourth proportional to 12,194.51, 18,288.15 and 5,174.43 is: 7,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.51 : 18,288.15 = 5,174.43 : x
  2. Step 2: Convert to fraction form
    12,194.51/18,288.15 = 5,174.43/x
  3. Step 3: Cross multiply
    12,194.51x = 18,288.15 × 5,174.43
  4. Step 4: Simplify right side
    12,194.51x = 94,630,752.00
  5. Step 5: Solve for x
    x = 94,630,752.00/12,194.51
  6. Step 6: Final answer
    x = 7,760.11

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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.