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Finding the Fourth Proportional to 18,587.26, 27,881.70 and 7,342.57

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Solution

The fourth proportional to 18,587.26, 27,881.70 and 7,342.57 is: 11,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,587.26 : 27,881.70 = 7,342.57 : x
  2. Step 2: Convert to fraction form
    18,587.26/27,881.70 = 7,342.57/x
  3. Step 3: Cross multiply
    18,587.26x = 27,881.70 × 7,342.57
  4. Step 4: Simplify right side
    18,587.26x = 204,723,333.97
  5. Step 5: Solve for x
    x = 204,723,333.97/18,587.26
  6. Step 6: Final answer
    x = 11,014.17

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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.