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Finding the Fourth Proportional to 23,338.48, 32,201.40 and 14,966.32

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Solution

The fourth proportional to 23,338.48, 32,201.40 and 14,966.32 is: 20,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.48 : 32,201.40 = 14,966.32 : x
  2. Step 2: Convert to fraction form
    23,338.48/32,201.40 = 14,966.32/x
  3. Step 3: Cross multiply
    23,338.48x = 32,201.40 × 14,966.32
  4. Step 4: Simplify right side
    23,338.48x = 481,936,456.85
  5. Step 5: Solve for x
    x = 481,936,456.85/23,338.48
  6. Step 6: Final answer
    x = 20,649.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.