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Finding the Fourth Proportional to 14,556.53, 20,076.24 and 9,775.04

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Solution

The fourth proportional to 14,556.53, 20,076.24 and 9,775.04 is: 13,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.53 : 20,076.24 = 9,775.04 : x
  2. Step 2: Convert to fraction form
    14,556.53/20,076.24 = 9,775.04/x
  3. Step 3: Cross multiply
    14,556.53x = 20,076.24 × 9,775.04
  4. Step 4: Simplify right side
    14,556.53x = 196,245,948.67
  5. Step 5: Solve for x
    x = 196,245,948.67/14,556.53
  6. Step 6: Final answer
    x = 13,481.65

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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.