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Finding the Fourth Proportional to 12,139.63, 18,210.81 and 3,820.84

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Solution

The fourth proportional to 12,139.63, 18,210.81 and 3,820.84 is: 5,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.63 : 18,210.81 = 3,820.84 : x
  2. Step 2: Convert to fraction form
    12,139.63/18,210.81 = 3,820.84/x
  3. Step 3: Cross multiply
    12,139.63x = 18,210.81 × 3,820.84
  4. Step 4: Simplify right side
    12,139.63x = 69,580,591.28
  5. Step 5: Solve for x
    x = 69,580,591.28/12,139.63
  6. Step 6: Final answer
    x = 5,731.69

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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.