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Finding the Fourth Proportional to 12,137.64, 18,206.56 and 3,817.46

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Solution

The fourth proportional to 12,137.64, 18,206.56 and 3,817.46 is: 5,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.64 : 18,206.56 = 3,817.46 : x
  2. Step 2: Convert to fraction form
    12,137.64/18,206.56 = 3,817.46/x
  3. Step 3: Cross multiply
    12,137.64x = 18,206.56 × 3,817.46
  4. Step 4: Simplify right side
    12,137.64x = 69,502,814.54
  5. Step 5: Solve for x
    x = 69,502,814.54/12,137.64
  6. Step 6: Final answer
    x = 5,726.22

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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.