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Finding the Fourth Proportional to 12,135.69, 18,188.96 and 5,112.99

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Solution

The fourth proportional to 12,135.69, 18,188.96 and 5,112.99 is: 7,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.69 : 18,188.96 = 5,112.99 : x
  2. Step 2: Convert to fraction form
    12,135.69/18,188.96 = 5,112.99/x
  3. Step 3: Cross multiply
    12,135.69x = 18,188.96 × 5,112.99
  4. Step 4: Simplify right side
    12,135.69x = 92,999,945.03
  5. Step 5: Solve for x
    x = 92,999,945.03/12,135.69
  6. Step 6: Final answer
    x = 7,663.34

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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.