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Finding the Fourth Proportional to 12,341.64, 18,512.46 and 3,107.64

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Solution

The fourth proportional to 12,341.64, 18,512.46 and 3,107.64 is: 4,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.64 : 18,512.46 = 3,107.64 : x
  2. Step 2: Convert to fraction form
    12,341.64/18,512.46 = 3,107.64/x
  3. Step 3: Cross multiply
    12,341.64x = 18,512.46 × 3,107.64
  4. Step 4: Simplify right side
    12,341.64x = 57,530,061.19
  5. Step 5: Solve for x
    x = 57,530,061.19/12,341.64
  6. Step 6: Final answer
    x = 4,661.46

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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.