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Finding the Fourth Proportional to 20,504.16, 30,765.96 and 10,638.18

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Solution

The fourth proportional to 20,504.16, 30,765.96 and 10,638.18 is: 15,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.16 : 30,765.96 = 10,638.18 : x
  2. Step 2: Convert to fraction form
    20,504.16/30,765.96 = 10,638.18/x
  3. Step 3: Cross multiply
    20,504.16x = 30,765.96 × 10,638.18
  4. Step 4: Simplify right side
    20,504.16x = 327,293,820.35
  5. Step 5: Solve for x
    x = 327,293,820.35/20,504.16
  6. Step 6: Final answer
    x = 15,962.31

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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.