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Finding the Fourth Proportional to 12,106.73, 18,160.43 and 3,341.64

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Solution

The fourth proportional to 12,106.73, 18,160.43 and 3,341.64 is: 5,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.73 : 18,160.43 = 3,341.64 : x
  2. Step 2: Convert to fraction form
    12,106.73/18,160.43 = 3,341.64/x
  3. Step 3: Cross multiply
    12,106.73x = 18,160.43 × 3,341.64
  4. Step 4: Simplify right side
    12,106.73x = 60,685,619.31
  5. Step 5: Solve for x
    x = 60,685,619.31/12,106.73
  6. Step 6: Final answer
    x = 5,012.55

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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.