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Finding the Fourth Proportional to 13,204.86, 18,222.54 and 7,236.18

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Solution

The fourth proportional to 13,204.86, 18,222.54 and 7,236.18 is: 9,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.86 : 18,222.54 = 7,236.18 : x
  2. Step 2: Convert to fraction form
    13,204.86/18,222.54 = 7,236.18/x
  3. Step 3: Cross multiply
    13,204.86x = 18,222.54 × 7,236.18
  4. Step 4: Simplify right side
    13,204.86x = 131,861,579.50
  5. Step 5: Solve for x
    x = 131,861,579.50/13,204.86
  6. Step 6: Final answer
    x = 9,985.84

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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.