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Finding the Fourth Proportional to 20,754.67, 31,142.94 and 9,054.22

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Solution

The fourth proportional to 20,754.67, 31,142.94 and 9,054.22 is: 13,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.67 : 31,142.94 = 9,054.22 : x
  2. Step 2: Convert to fraction form
    20,754.67/31,142.94 = 9,054.22/x
  3. Step 3: Cross multiply
    20,754.67x = 31,142.94 × 9,054.22
  4. Step 4: Simplify right side
    20,754.67x = 281,975,030.21
  5. Step 5: Solve for x
    x = 281,975,030.21/20,754.67
  6. Step 6: Final answer
    x = 13,586.10

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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.