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Finding the Fourth Proportional to 27,600, 41,406.48 and 9,132

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Solution

The fourth proportional to 27,600, 41,406.48 and 9,132 is: 13,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600 : 41,406.48 = 9,132 : x
  2. Step 2: Convert to fraction form
    27,600/41,406.48 = 9,132/x
  3. Step 3: Cross multiply
    27,600x = 41,406.48 × 9,132
  4. Step 4: Simplify right side
    27,600x = 378,123,975.36
  5. Step 5: Solve for x
    x = 378,123,975.36/27,600
  6. Step 6: Final answer
    x = 13,700.14

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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.