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Finding the Fourth Proportional to 23,892.24, 35,842.67 and 9,844.45

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Solution

The fourth proportional to 23,892.24, 35,842.67 and 9,844.45 is: 14,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.24 : 35,842.67 = 9,844.45 : x
  2. Step 2: Convert to fraction form
    23,892.24/35,842.67 = 9,844.45/x
  3. Step 3: Cross multiply
    23,892.24x = 35,842.67 × 9,844.45
  4. Step 4: Simplify right side
    23,892.24x = 352,851,359.75
  5. Step 5: Solve for x
    x = 352,851,359.75/23,892.24
  6. Step 6: Final answer
    x = 14,768.45

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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.