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Finding the Fourth Proportional to 12,129.99, 18,194.81 and 3,810.51

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Solution

The fourth proportional to 12,129.99, 18,194.81 and 3,810.51 is: 5,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.99 : 18,194.81 = 3,810.51 : x
  2. Step 2: Convert to fraction form
    12,129.99/18,194.81 = 3,810.51/x
  3. Step 3: Cross multiply
    12,129.99x = 18,194.81 × 3,810.51
  4. Step 4: Simplify right side
    12,129.99x = 69,331,447.15
  5. Step 5: Solve for x
    x = 69,331,447.15/12,129.99
  6. Step 6: Final answer
    x = 5,715.70

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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.