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Finding the Fourth Proportional to 18,230.67, 27,329.60 and 6,541.16

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Solution

The fourth proportional to 18,230.67, 27,329.60 and 6,541.16 is: 9,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230.67 : 27,329.60 = 6,541.16 : x
  2. Step 2: Convert to fraction form
    18,230.67/27,329.60 = 6,541.16/x
  3. Step 3: Cross multiply
    18,230.67x = 27,329.60 × 6,541.16
  4. Step 4: Simplify right side
    18,230.67x = 178,767,166.04
  5. Step 5: Solve for x
    x = 178,767,166.04/18,230.67
  6. Step 6: Final answer
    x = 9,805.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.