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Finding the Fourth Proportional to 13,950.44, 20,907.86 and 6,538.57

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Solution

The fourth proportional to 13,950.44, 20,907.86 and 6,538.57 is: 9,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.44 : 20,907.86 = 6,538.57 : x
  2. Step 2: Convert to fraction form
    13,950.44/20,907.86 = 6,538.57/x
  3. Step 3: Cross multiply
    13,950.44x = 20,907.86 × 6,538.57
  4. Step 4: Simplify right side
    13,950.44x = 136,707,385.27
  5. Step 5: Solve for x
    x = 136,707,385.27/13,950.44
  6. Step 6: Final answer
    x = 9,799.51

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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.