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Finding the Fourth Proportional to 12,133.46, 18,200.23 and 3,814.16

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Solution

The fourth proportional to 12,133.46, 18,200.23 and 3,814.16 is: 5,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.46 : 18,200.23 = 3,814.16 : x
  2. Step 2: Convert to fraction form
    12,133.46/18,200.23 = 3,814.16/x
  3. Step 3: Cross multiply
    12,133.46x = 18,200.23 × 3,814.16
  4. Step 4: Simplify right side
    12,133.46x = 69,418,488.72
  5. Step 5: Solve for x
    x = 69,418,488.72/12,133.46
  6. Step 6: Final answer
    x = 5,721.24

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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.