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Finding the Fourth Proportional to 18,184, 27,282.99 and 7,098.55

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Solution

The fourth proportional to 18,184, 27,282.99 and 7,098.55 is: 10,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,184 : 27,282.99 = 7,098.55 : x
  2. Step 2: Convert to fraction form
    18,184/27,282.99 = 7,098.55/x
  3. Step 3: Cross multiply
    18,184x = 27,282.99 × 7,098.55
  4. Step 4: Simplify right side
    18,184x = 193,669,668.66
  5. Step 5: Solve for x
    x = 193,669,668.66/18,184
  6. Step 6: Final answer
    x = 10,650.55

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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.