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Finding the Fourth Proportional to 20,255.68, 27,945.38 and 12,702.32

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Solution

The fourth proportional to 20,255.68, 27,945.38 and 12,702.32 is: 17,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.68 : 27,945.38 = 12,702.32 : x
  2. Step 2: Convert to fraction form
    20,255.68/27,945.38 = 12,702.32/x
  3. Step 3: Cross multiply
    20,255.68x = 27,945.38 × 12,702.32
  4. Step 4: Simplify right side
    20,255.68x = 354,971,095.77
  5. Step 5: Solve for x
    x = 354,971,095.77/20,255.68
  6. Step 6: Final answer
    x = 17,524.53

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