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Finding the Fourth Proportional to 13,238.33, 18,268.95 and 7,573.14

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Solution

The fourth proportional to 13,238.33, 18,268.95 and 7,573.14 is: 10,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.33 : 18,268.95 = 7,573.14 : x
  2. Step 2: Convert to fraction form
    13,238.33/18,268.95 = 7,573.14/x
  3. Step 3: Cross multiply
    13,238.33x = 18,268.95 × 7,573.14
  4. Step 4: Simplify right side
    13,238.33x = 138,353,316.00
  5. Step 5: Solve for x
    x = 138,353,316.00/13,238.33
  6. Step 6: Final answer
    x = 10,450.97

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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.