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Finding the Fourth Proportional to 23,629.80, 35,444.70 and 19,828.20

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Solution

The fourth proportional to 23,629.80, 35,444.70 and 19,828.20 is: 29,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629.80 : 35,444.70 = 19,828.20 : x
  2. Step 2: Convert to fraction form
    23,629.80/35,444.70 = 19,828.20/x
  3. Step 3: Cross multiply
    23,629.80x = 35,444.70 × 19,828.20
  4. Step 4: Simplify right side
    23,629.80x = 702,804,600.54
  5. Step 5: Solve for x
    x = 702,804,600.54/23,629.80
  6. Step 6: Final answer
    x = 29,742.30

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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.