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Finding the Fourth Proportional to 18,320.21, 27,461.85 and 7,222.60

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Solution

The fourth proportional to 18,320.21, 27,461.85 and 7,222.60 is: 10,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,320.21 : 27,461.85 = 7,222.60 : x
  2. Step 2: Convert to fraction form
    18,320.21/27,461.85 = 7,222.60/x
  3. Step 3: Cross multiply
    18,320.21x = 27,461.85 × 7,222.60
  4. Step 4: Simplify right side
    18,320.21x = 198,345,957.81
  5. Step 5: Solve for x
    x = 198,345,957.81/18,320.21
  6. Step 6: Final answer
    x = 10,826.62

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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.