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Finding the Fourth Proportional to 12,313.10, 18,469.65 and 7,112.90

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Solution

The fourth proportional to 12,313.10, 18,469.65 and 7,112.90 is: 10,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.10 : 18,469.65 = 7,112.90 : x
  2. Step 2: Convert to fraction form
    12,313.10/18,469.65 = 7,112.90/x
  3. Step 3: Cross multiply
    12,313.10x = 18,469.65 × 7,112.90
  4. Step 4: Simplify right side
    12,313.10x = 131,372,773.49
  5. Step 5: Solve for x
    x = 131,372,773.49/12,313.10
  6. Step 6: Final answer
    x = 10,669.35

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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.