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Finding the Fourth Proportional to 13,537.56, 20,282.74 and 7,907.34

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Solution

The fourth proportional to 13,537.56, 20,282.74 and 7,907.34 is: 11,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.56 : 20,282.74 = 7,907.34 : x
  2. Step 2: Convert to fraction form
    13,537.56/20,282.74 = 7,907.34/x
  3. Step 3: Cross multiply
    13,537.56x = 20,282.74 × 7,907.34
  4. Step 4: Simplify right side
    13,537.56x = 160,382,521.31
  5. Step 5: Solve for x
    x = 160,382,521.31/13,537.56
  6. Step 6: Final answer
    x = 11,847.23

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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.