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Finding the Fourth Proportional to 20,120, 27,755.28 and 12,951.20

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Solution

The fourth proportional to 20,120, 27,755.28 and 12,951.20 is: 17,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120 : 27,755.28 = 12,951.20 : x
  2. Step 2: Convert to fraction form
    20,120/27,755.28 = 12,951.20/x
  3. Step 3: Cross multiply
    20,120x = 27,755.28 × 12,951.20
  4. Step 4: Simplify right side
    20,120x = 359,464,182.34
  5. Step 5: Solve for x
    x = 359,464,182.34/20,120
  6. Step 6: Final answer
    x = 17,866.01

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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.