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Finding the Fourth Proportional to 18,545.32, 25,584.42 and 11,089

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Solution

The fourth proportional to 18,545.32, 25,584.42 and 11,089 is: 15,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,545.32 : 25,584.42 = 11,089 : x
  2. Step 2: Convert to fraction form
    18,545.32/25,584.42 = 11,089/x
  3. Step 3: Cross multiply
    18,545.32x = 25,584.42 × 11,089
  4. Step 4: Simplify right side
    18,545.32x = 283,705,633.38
  5. Step 5: Solve for x
    x = 283,705,633.38/18,545.32
  6. Step 6: Final answer
    x = 15,297.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.