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Finding the Fourth Proportional to 20,638.98, 30,911.63 and 13,142.57

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Solution

The fourth proportional to 20,638.98, 30,911.63 and 13,142.57 is: 19,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.98 : 30,911.63 = 13,142.57 : x
  2. Step 2: Convert to fraction form
    20,638.98/30,911.63 = 13,142.57/x
  3. Step 3: Cross multiply
    20,638.98x = 30,911.63 × 13,142.57
  4. Step 4: Simplify right side
    20,638.98x = 406,258,040.82
  5. Step 5: Solve for x
    x = 406,258,040.82/20,638.98
  6. Step 6: Final answer
    x = 19,684.02

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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.