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Finding the Fourth Proportional to 12,109.86, 18,164.97 and 3,225.38

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Solution

The fourth proportional to 12,109.86, 18,164.97 and 3,225.38 is: 4,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.86 : 18,164.97 = 3,225.38 : x
  2. Step 2: Convert to fraction form
    12,109.86/18,164.97 = 3,225.38/x
  3. Step 3: Cross multiply
    12,109.86x = 18,164.97 × 3,225.38
  4. Step 4: Simplify right side
    12,109.86x = 58,588,840.11
  5. Step 5: Solve for x
    x = 58,588,840.11/12,109.86
  6. Step 6: Final answer
    x = 4,838.11

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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.