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Finding the Fourth Proportional to 38,422.80, 57,634.10 and 10,720.80

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Solution

The fourth proportional to 38,422.80, 57,634.10 and 10,720.80 is: 16,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.80 : 57,634.10 = 10,720.80 : x
  2. Step 2: Convert to fraction form
    38,422.80/57,634.10 = 10,720.80/x
  3. Step 3: Cross multiply
    38,422.80x = 57,634.10 × 10,720.80
  4. Step 4: Simplify right side
    38,422.80x = 617,883,659.28
  5. Step 5: Solve for x
    x = 617,883,659.28/38,422.80
  6. Step 6: Final answer
    x = 16,081.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.