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Finding the Fourth Proportional to 16,830.76, 23,224.84 and 9,757.60

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Solution

The fourth proportional to 16,830.76, 23,224.84 and 9,757.60 is: 13,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.76 : 23,224.84 = 9,757.60 : x
  2. Step 2: Convert to fraction form
    16,830.76/23,224.84 = 9,757.60/x
  3. Step 3: Cross multiply
    16,830.76x = 23,224.84 × 9,757.60
  4. Step 4: Simplify right side
    16,830.76x = 226,618,698.78
  5. Step 5: Solve for x
    x = 226,618,698.78/16,830.76
  6. Step 6: Final answer
    x = 13,464.56

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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.