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Finding the Fourth Proportional to 12,130.71, 18,194.87 and 3,810.51

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Solution

The fourth proportional to 12,130.71, 18,194.87 and 3,810.51 is: 5,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.71 : 18,194.87 = 3,810.51 : x
  2. Step 2: Convert to fraction form
    12,130.71/18,194.87 = 3,810.51/x
  3. Step 3: Cross multiply
    12,130.71x = 18,194.87 × 3,810.51
  4. Step 4: Simplify right side
    12,130.71x = 69,331,640.06
  5. Step 5: Solve for x
    x = 69,331,640.06/12,130.71
  6. Step 6: Final answer
    x = 5,715.38

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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.