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Finding the Fourth Proportional to 14,306.49, 19,742.60 and 7,933.11

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Solution

The fourth proportional to 14,306.49, 19,742.60 and 7,933.11 is: 10,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.49 : 19,742.60 = 7,933.11 : x
  2. Step 2: Convert to fraction form
    14,306.49/19,742.60 = 7,933.11/x
  3. Step 3: Cross multiply
    14,306.49x = 19,742.60 × 7,933.11
  4. Step 4: Simplify right side
    14,306.49x = 156,620,163.28
  5. Step 5: Solve for x
    x = 156,620,163.28/14,306.49
  6. Step 6: Final answer
    x = 10,947.49

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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.