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Finding the Fourth Proportional to 23,242.94, 34,850.54 and 9,204.98

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Solution

The fourth proportional to 23,242.94, 34,850.54 and 9,204.98 is: 13,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.94 : 34,850.54 = 9,204.98 : x
  2. Step 2: Convert to fraction form
    23,242.94/34,850.54 = 9,204.98/x
  3. Step 3: Cross multiply
    23,242.94x = 34,850.54 × 9,204.98
  4. Step 4: Simplify right side
    23,242.94x = 320,798,523.69
  5. Step 5: Solve for x
    x = 320,798,523.69/23,242.94
  6. Step 6: Final answer
    x = 13,801.98

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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.