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Finding the Fourth Proportional to 12,241.89, 16,892.34 and 7,205.00

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Solution

The fourth proportional to 12,241.89, 16,892.34 and 7,205.00 is: 9,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.89 : 16,892.34 = 7,205.00 : x
  2. Step 2: Convert to fraction form
    12,241.89/16,892.34 = 7,205.00/x
  3. Step 3: Cross multiply
    12,241.89x = 16,892.34 × 7,205.00
  4. Step 4: Simplify right side
    12,241.89x = 121,709,225.24
  5. Step 5: Solve for x
    x = 121,709,225.24/12,241.89
  6. Step 6: Final answer
    x = 9,942.03

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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.