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Finding the Fourth Proportional to 18,590.50, 27,882.91 and 7,494.31

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Solution

The fourth proportional to 18,590.50, 27,882.91 and 7,494.31 is: 11,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,590.50 : 27,882.91 = 7,494.31 : x
  2. Step 2: Convert to fraction form
    18,590.50/27,882.91 = 7,494.31/x
  3. Step 3: Cross multiply
    18,590.50x = 27,882.91 × 7,494.31
  4. Step 4: Simplify right side
    18,590.50x = 208,963,171.24
  5. Step 5: Solve for x
    x = 208,963,171.24/18,590.50
  6. Step 6: Final answer
    x = 11,240.32

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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.