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Finding the Fourth Proportional to 23,620.38, 35,435.42 and 9,769.38

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Solution

The fourth proportional to 23,620.38, 35,435.42 and 9,769.38 is: 14,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620.38 : 35,435.42 = 9,769.38 : x
  2. Step 2: Convert to fraction form
    23,620.38/35,435.42 = 9,769.38/x
  3. Step 3: Cross multiply
    23,620.38x = 35,435.42 × 9,769.38
  4. Step 4: Simplify right side
    23,620.38x = 346,182,083.44
  5. Step 5: Solve for x
    x = 346,182,083.44/23,620.38
  6. Step 6: Final answer
    x = 14,656.08

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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.