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Finding the Fourth Proportional to 12,432.64, 18,641.82 and 4,110.36

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Solution

The fourth proportional to 12,432.64, 18,641.82 and 4,110.36 is: 6,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.64 : 18,641.82 = 4,110.36 : x
  2. Step 2: Convert to fraction form
    12,432.64/18,641.82 = 4,110.36/x
  3. Step 3: Cross multiply
    12,432.64x = 18,641.82 × 4,110.36
  4. Step 4: Simplify right side
    12,432.64x = 76,624,591.26
  5. Step 5: Solve for x
    x = 76,624,591.26/12,432.64
  6. Step 6: Final answer
    x = 6,163.18

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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.