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Finding the Fourth Proportional to 18,434.76, 27,644.04 and 5,284.14

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Solution

The fourth proportional to 18,434.76, 27,644.04 and 5,284.14 is: 7,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434.76 : 27,644.04 = 5,284.14 : x
  2. Step 2: Convert to fraction form
    18,434.76/27,644.04 = 5,284.14/x
  3. Step 3: Cross multiply
    18,434.76x = 27,644.04 × 5,284.14
  4. Step 4: Simplify right side
    18,434.76x = 146,074,977.53
  5. Step 5: Solve for x
    x = 146,074,977.53/18,434.76
  6. Step 6: Final answer
    x = 7,923.89

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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.