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Finding the Fourth Proportional to 13,701.24, 18,896.76 and 9,222.12

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Solution

The fourth proportional to 13,701.24, 18,896.76 and 9,222.12 is: 12,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.24 : 18,896.76 = 9,222.12 : x
  2. Step 2: Convert to fraction form
    13,701.24/18,896.76 = 9,222.12/x
  3. Step 3: Cross multiply
    13,701.24x = 18,896.76 × 9,222.12
  4. Step 4: Simplify right side
    13,701.24x = 174,268,188.33
  5. Step 5: Solve for x
    x = 174,268,188.33/13,701.24
  6. Step 6: Final answer
    x = 12,719.15

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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.