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Finding the Fourth Proportional to 18,389.50, 27,580.93 and 7,865.44

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Solution

The fourth proportional to 18,389.50, 27,580.93 and 7,865.44 is: 11,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,389.50 : 27,580.93 = 7,865.44 : x
  2. Step 2: Convert to fraction form
    18,389.50/27,580.93 = 7,865.44/x
  3. Step 3: Cross multiply
    18,389.50x = 27,580.93 × 7,865.44
  4. Step 4: Simplify right side
    18,389.50x = 216,936,150.06
  5. Step 5: Solve for x
    x = 216,936,150.06/18,389.50
  6. Step 6: Final answer
    x = 11,796.74

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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.