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Finding the Fourth Proportional to 13,524.76, 18,664.18 and 7,556.42

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Solution

The fourth proportional to 13,524.76, 18,664.18 and 7,556.42 is: 10,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.76 : 18,664.18 = 7,556.42 : x
  2. Step 2: Convert to fraction form
    13,524.76/18,664.18 = 7,556.42/x
  3. Step 3: Cross multiply
    13,524.76x = 18,664.18 × 7,556.42
  4. Step 4: Simplify right side
    13,524.76x = 141,034,383.04
  5. Step 5: Solve for x
    x = 141,034,383.04/13,524.76
  6. Step 6: Final answer
    x = 10,427.87

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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.