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Finding the Fourth Proportional to 13,546.62, 20,318.78 and 4,661.22

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Solution

The fourth proportional to 13,546.62, 20,318.78 and 4,661.22 is: 6,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.62 : 20,318.78 = 4,661.22 : x
  2. Step 2: Convert to fraction form
    13,546.62/20,318.78 = 4,661.22/x
  3. Step 3: Cross multiply
    13,546.62x = 20,318.78 × 4,661.22
  4. Step 4: Simplify right side
    13,546.62x = 94,710,303.71
  5. Step 5: Solve for x
    x = 94,710,303.71/13,546.62
  6. Step 6: Final answer
    x = 6,991.43

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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.