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Finding the Fourth Proportional to 18,065.70, 27,101.49 and 5,582.82

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Solution

The fourth proportional to 18,065.70, 27,101.49 and 5,582.82 is: 8,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,065.70 : 27,101.49 = 5,582.82 : x
  2. Step 2: Convert to fraction form
    18,065.70/27,101.49 = 5,582.82/x
  3. Step 3: Cross multiply
    18,065.70x = 27,101.49 × 5,582.82
  4. Step 4: Simplify right side
    18,065.70x = 151,302,740.40
  5. Step 5: Solve for x
    x = 151,302,740.40/18,065.70
  6. Step 6: Final answer
    x = 8,375.14

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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.