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Finding the Fourth Proportional to 18,358.18, 27,540.81 and 7,828.02

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Solution

The fourth proportional to 18,358.18, 27,540.81 and 7,828.02 is: 11,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,358.18 : 27,540.81 = 7,828.02 : x
  2. Step 2: Convert to fraction form
    18,358.18/27,540.81 = 7,828.02/x
  3. Step 3: Cross multiply
    18,358.18x = 27,540.81 × 7,828.02
  4. Step 4: Simplify right side
    18,358.18x = 215,590,011.50
  5. Step 5: Solve for x
    x = 215,590,011.50/18,358.18
  6. Step 6: Final answer
    x = 11,743.54

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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.