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Finding the Fourth Proportional to 13,233.54, 18,262.76 and 7,265.66

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Solution

The fourth proportional to 13,233.54, 18,262.76 and 7,265.66 is: 10,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.54 : 18,262.76 = 7,265.66 : x
  2. Step 2: Convert to fraction form
    13,233.54/18,262.76 = 7,265.66/x
  3. Step 3: Cross multiply
    13,233.54x = 18,262.76 × 7,265.66
  4. Step 4: Simplify right side
    13,233.54x = 132,691,014.15
  5. Step 5: Solve for x
    x = 132,691,014.15/13,233.54
  6. Step 6: Final answer
    x = 10,026.87

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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.