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Finding the Fourth Proportional to 18,195.50, 27,242.58 and 9,291.68

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Solution

The fourth proportional to 18,195.50, 27,242.58 and 9,291.68 is: 13,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,195.50 : 27,242.58 = 9,291.68 : x
  2. Step 2: Convert to fraction form
    18,195.50/27,242.58 = 9,291.68/x
  3. Step 3: Cross multiply
    18,195.50x = 27,242.58 × 9,291.68
  4. Step 4: Simplify right side
    18,195.50x = 253,129,335.73
  5. Step 5: Solve for x
    x = 253,129,335.73/18,195.50
  6. Step 6: Final answer
    x = 13,911.64

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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.