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Finding the Fourth Proportional to 20,702.36, 30,894.49 and 18,487.96

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Solution

The fourth proportional to 20,702.36, 30,894.49 and 18,487.96 is: 27,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.36 : 30,894.49 = 18,487.96 : x
  2. Step 2: Convert to fraction form
    20,702.36/30,894.49 = 18,487.96/x
  3. Step 3: Cross multiply
    20,702.36x = 30,894.49 × 18,487.96
  4. Step 4: Simplify right side
    20,702.36x = 571,176,095.34
  5. Step 5: Solve for x
    x = 571,176,095.34/20,702.36
  6. Step 6: Final answer
    x = 27,589.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.