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Finding the Fourth Proportional to 12,146.69, 18,220.04 and 9,377.41

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Solution

The fourth proportional to 12,146.69, 18,220.04 and 9,377.41 is: 14,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.69 : 18,220.04 = 9,377.41 : x
  2. Step 2: Convert to fraction form
    12,146.69/18,220.04 = 9,377.41/x
  3. Step 3: Cross multiply
    12,146.69x = 18,220.04 × 9,377.41
  4. Step 4: Simplify right side
    12,146.69x = 170,856,763.19
  5. Step 5: Solve for x
    x = 170,856,763.19/12,146.69
  6. Step 6: Final answer
    x = 14,066.11

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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.