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Finding the Fourth Proportional to 13,777.32, 20,668.84 and 7,201.72

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Solution

The fourth proportional to 13,777.32, 20,668.84 and 7,201.72 is: 10,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.32 : 20,668.84 = 7,201.72 : x
  2. Step 2: Convert to fraction form
    13,777.32/20,668.84 = 7,201.72/x
  3. Step 3: Cross multiply
    13,777.32x = 20,668.84 × 7,201.72
  4. Step 4: Simplify right side
    13,777.32x = 148,851,198.40
  5. Step 5: Solve for x
    x = 148,851,198.40/13,777.32
  6. Step 6: Final answer
    x = 10,804.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.