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Finding the Fourth Proportional to 14,308.10, 19,745.82 and 7,934.27

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Solution

The fourth proportional to 14,308.10, 19,745.82 and 7,934.27 is: 10,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.10 : 19,745.82 = 7,934.27 : x
  2. Step 2: Convert to fraction form
    14,308.10/19,745.82 = 7,934.27/x
  3. Step 3: Cross multiply
    14,308.10x = 19,745.82 × 7,934.27
  4. Step 4: Simplify right side
    14,308.10x = 156,668,568.52
  5. Step 5: Solve for x
    x = 156,668,568.52/14,308.10
  6. Step 6: Final answer
    x = 10,949.64

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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.