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Finding the Fourth Proportional to 13,514.63, 18,649.98 and 7,546.38

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Solution

The fourth proportional to 13,514.63, 18,649.98 and 7,546.38 is: 10,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.63 : 18,649.98 = 7,546.38 : x
  2. Step 2: Convert to fraction form
    13,514.63/18,649.98 = 7,546.38/x
  3. Step 3: Cross multiply
    13,514.63x = 18,649.98 × 7,546.38
  4. Step 4: Simplify right side
    13,514.63x = 140,739,836.07
  5. Step 5: Solve for x
    x = 140,739,836.07/13,514.63
  6. Step 6: Final answer
    x = 10,413.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.