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Finding the Fourth Proportional to 18,199.62, 27,283.18 and 7,103.72

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Solution

The fourth proportional to 18,199.62, 27,283.18 and 7,103.72 is: 10,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199.62 : 27,283.18 = 7,103.72 : x
  2. Step 2: Convert to fraction form
    18,199.62/27,283.18 = 7,103.72/x
  3. Step 3: Cross multiply
    18,199.62x = 27,283.18 × 7,103.72
  4. Step 4: Simplify right side
    18,199.62x = 193,812,071.43
  5. Step 5: Solve for x
    x = 193,812,071.43/18,199.62
  6. Step 6: Final answer
    x = 10,649.24

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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.