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Finding the Fourth Proportional to 22,563.95, 31,139.41 and 12,493.50

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Solution

The fourth proportional to 22,563.95, 31,139.41 and 12,493.50 is: 17,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.95 : 31,139.41 = 12,493.50 : x
  2. Step 2: Convert to fraction form
    22,563.95/31,139.41 = 12,493.50/x
  3. Step 3: Cross multiply
    22,563.95x = 31,139.41 × 12,493.50
  4. Step 4: Simplify right side
    22,563.95x = 389,040,269.28
  5. Step 5: Solve for x
    x = 389,040,269.28/22,563.95
  6. Step 6: Final answer
    x = 17,241.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.