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Finding the Fourth Proportional to 13,222.54, 18,246.96 and 7,253.92

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Solution

The fourth proportional to 13,222.54, 18,246.96 and 7,253.92 is: 10,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.54 : 18,246.96 = 7,253.92 : x
  2. Step 2: Convert to fraction form
    13,222.54/18,246.96 = 7,253.92/x
  3. Step 3: Cross multiply
    13,222.54x = 18,246.96 × 7,253.92
  4. Step 4: Simplify right side
    13,222.54x = 132,361,988.08
  5. Step 5: Solve for x
    x = 132,361,988.08/13,222.54
  6. Step 6: Final answer
    x = 10,010.33

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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.