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Finding the Fourth Proportional to 18,551.62, 27,833.51 and 6,865.75

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Solution

The fourth proportional to 18,551.62, 27,833.51 and 6,865.75 is: 10,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.62 : 27,833.51 = 6,865.75 : x
  2. Step 2: Convert to fraction form
    18,551.62/27,833.51 = 6,865.75/x
  3. Step 3: Cross multiply
    18,551.62x = 27,833.51 × 6,865.75
  4. Step 4: Simplify right side
    18,551.62x = 191,097,921.28
  5. Step 5: Solve for x
    x = 191,097,921.28/18,551.62
  6. Step 6: Final answer
    x = 10,300.88

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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.