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Finding the Fourth Proportional to 20,073.75, 27,702.51 and 12,114.42

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Solution

The fourth proportional to 20,073.75, 27,702.51 and 12,114.42 is: 16,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.75 : 27,702.51 = 12,114.42 : x
  2. Step 2: Convert to fraction form
    20,073.75/27,702.51 = 12,114.42/x
  3. Step 3: Cross multiply
    20,073.75x = 27,702.51 × 12,114.42
  4. Step 4: Simplify right side
    20,073.75x = 335,599,841.19
  5. Step 5: Solve for x
    x = 335,599,841.19/20,073.75
  6. Step 6: Final answer
    x = 16,718.34

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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.