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Finding the Fourth Proportional to 13,514.48, 18,650.72 and 7,546.20

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Solution

The fourth proportional to 13,514.48, 18,650.72 and 7,546.20 is: 10,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.48 : 18,650.72 = 7,546.20 : x
  2. Step 2: Convert to fraction form
    13,514.48/18,650.72 = 7,546.20/x
  3. Step 3: Cross multiply
    13,514.48x = 18,650.72 × 7,546.20
  4. Step 4: Simplify right side
    13,514.48x = 140,742,063.26
  5. Step 5: Solve for x
    x = 140,742,063.26/13,514.48
  6. Step 6: Final answer
    x = 10,414.17

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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.