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Finding the Fourth Proportional to 17,761.68, 24,513.03 and 13,277.72

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Solution

The fourth proportional to 17,761.68, 24,513.03 and 13,277.72 is: 18,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.68 : 24,513.03 = 13,277.72 : x
  2. Step 2: Convert to fraction form
    17,761.68/24,513.03 = 13,277.72/x
  3. Step 3: Cross multiply
    17,761.68x = 24,513.03 × 13,277.72
  4. Step 4: Simplify right side
    17,761.68x = 325,477,209.97
  5. Step 5: Solve for x
    x = 325,477,209.97/17,761.68
  6. Step 6: Final answer
    x = 18,324.69

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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.