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Finding the Fourth Proportional to 23,615.20, 35,422.80 and 19,856.80

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Solution

The fourth proportional to 23,615.20, 35,422.80 and 19,856.80 is: 29,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.20 : 35,422.80 = 19,856.80 : x
  2. Step 2: Convert to fraction form
    23,615.20/35,422.80 = 19,856.80/x
  3. Step 3: Cross multiply
    23,615.20x = 35,422.80 × 19,856.80
  4. Step 4: Simplify right side
    23,615.20x = 703,383,455.04
  5. Step 5: Solve for x
    x = 703,383,455.04/23,615.20
  6. Step 6: Final answer
    x = 29,785.20

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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.