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Finding the Fourth Proportional to 12,209.38, 18,313.93 and 2,975.38

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Solution

The fourth proportional to 12,209.38, 18,313.93 and 2,975.38 is: 4,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.38 : 18,313.93 = 2,975.38 : x
  2. Step 2: Convert to fraction form
    12,209.38/18,313.93 = 2,975.38/x
  3. Step 3: Cross multiply
    12,209.38x = 18,313.93 × 2,975.38
  4. Step 4: Simplify right side
    12,209.38x = 54,490,901.04
  5. Step 5: Solve for x
    x = 54,490,901.04/12,209.38
  6. Step 6: Final answer
    x = 4,463.04

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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.