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Finding the Fourth Proportional to 18,370.50, 27,536.48 and 7,702.94

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Solution

The fourth proportional to 18,370.50, 27,536.48 and 7,702.94 is: 11,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,370.50 : 27,536.48 = 7,702.94 : x
  2. Step 2: Convert to fraction form
    18,370.50/27,536.48 = 7,702.94/x
  3. Step 3: Cross multiply
    18,370.50x = 27,536.48 × 7,702.94
  4. Step 4: Simplify right side
    18,370.50x = 212,111,853.25
  5. Step 5: Solve for x
    x = 212,111,853.25/18,370.50
  6. Step 6: Final answer
    x = 11,546.33

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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.