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Finding the Fourth Proportional to 27,302.54, 40,963.82 and 11,511.54

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Solution

The fourth proportional to 27,302.54, 40,963.82 and 11,511.54 is: 17,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.54 : 40,963.82 = 11,511.54 : x
  2. Step 2: Convert to fraction form
    27,302.54/40,963.82 = 11,511.54/x
  3. Step 3: Cross multiply
    27,302.54x = 40,963.82 × 11,511.54
  4. Step 4: Simplify right side
    27,302.54x = 471,556,594.93
  5. Step 5: Solve for x
    x = 471,556,594.93/27,302.54
  6. Step 6: Final answer
    x = 17,271.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.