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Finding the Fourth Proportional to 18,477.80, 27,716.70 and 9,122.30

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Solution

The fourth proportional to 18,477.80, 27,716.70 and 9,122.30 is: 13,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.80 : 27,716.70 = 9,122.30 : x
  2. Step 2: Convert to fraction form
    18,477.80/27,716.70 = 9,122.30/x
  3. Step 3: Cross multiply
    18,477.80x = 27,716.70 × 9,122.30
  4. Step 4: Simplify right side
    18,477.80x = 252,840,052.41
  5. Step 5: Solve for x
    x = 252,840,052.41/18,477.80
  6. Step 6: Final answer
    x = 13,683.45

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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.