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Finding the Fourth Proportional to 14,103.92, 19,462.37 and 7,729.49

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Solution

The fourth proportional to 14,103.92, 19,462.37 and 7,729.49 is: 10,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.92 : 19,462.37 = 7,729.49 : x
  2. Step 2: Convert to fraction form
    14,103.92/19,462.37 = 7,729.49/x
  3. Step 3: Cross multiply
    14,103.92x = 19,462.37 × 7,729.49
  4. Step 4: Simplify right side
    14,103.92x = 150,434,204.30
  5. Step 5: Solve for x
    x = 150,434,204.30/14,103.92
  6. Step 6: Final answer
    x = 10,666.13

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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.