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Finding the Fourth Proportional to 13,514.86, 18,650.33 and 7,546.63

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Solution

The fourth proportional to 13,514.86, 18,650.33 and 7,546.63 is: 10,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.86 : 18,650.33 = 7,546.63 : x
  2. Step 2: Convert to fraction form
    13,514.86/18,650.33 = 7,546.63/x
  3. Step 3: Cross multiply
    13,514.86x = 18,650.33 × 7,546.63
  4. Step 4: Simplify right side
    13,514.86x = 140,747,158.75
  5. Step 5: Solve for x
    x = 140,747,158.75/13,514.86
  6. Step 6: Final answer
    x = 10,414.25

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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.