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Finding the Fourth Proportional to 13,645.46, 20,423.79 and 7,631.61

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Solution

The fourth proportional to 13,645.46, 20,423.79 and 7,631.61 is: 11,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.46 : 20,423.79 = 7,631.61 : x
  2. Step 2: Convert to fraction form
    13,645.46/20,423.79 = 7,631.61/x
  3. Step 3: Cross multiply
    13,645.46x = 20,423.79 × 7,631.61
  4. Step 4: Simplify right side
    13,645.46x = 155,866,361.84
  5. Step 5: Solve for x
    x = 155,866,361.84/13,645.46
  6. Step 6: Final answer
    x = 11,422.58

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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.