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Finding the Fourth Proportional to 23,356.54, 35,015.23 and 10,198.90

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Solution

The fourth proportional to 23,356.54, 35,015.23 and 10,198.90 is: 15,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.54 : 35,015.23 = 10,198.90 : x
  2. Step 2: Convert to fraction form
    23,356.54/35,015.23 = 10,198.90/x
  3. Step 3: Cross multiply
    23,356.54x = 35,015.23 × 10,198.90
  4. Step 4: Simplify right side
    23,356.54x = 357,116,829.25
  5. Step 5: Solve for x
    x = 357,116,829.25/23,356.54
  6. Step 6: Final answer
    x = 15,289.80

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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.