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Finding the Fourth Proportional to 13,600.40, 18,770.92 and 7,938.50

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Solution

The fourth proportional to 13,600.40, 18,770.92 and 7,938.50 is: 10,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.40 : 18,770.92 = 7,938.50 : x
  2. Step 2: Convert to fraction form
    13,600.40/18,770.92 = 7,938.50/x
  3. Step 3: Cross multiply
    13,600.40x = 18,770.92 × 7,938.50
  4. Step 4: Simplify right side
    13,600.40x = 149,012,948.42
  5. Step 5: Solve for x
    x = 149,012,948.42/13,600.40
  6. Step 6: Final answer
    x = 10,956.51

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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.