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Finding the Fourth Proportional to 14,238.59, 19,649.25 and 7,950.96

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Solution

The fourth proportional to 14,238.59, 19,649.25 and 7,950.96 is: 10,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.59 : 19,649.25 = 7,950.96 : x
  2. Step 2: Convert to fraction form
    14,238.59/19,649.25 = 7,950.96/x
  3. Step 3: Cross multiply
    14,238.59x = 19,649.25 × 7,950.96
  4. Step 4: Simplify right side
    14,238.59x = 156,230,400.78
  5. Step 5: Solve for x
    x = 156,230,400.78/14,238.59
  6. Step 6: Final answer
    x = 10,972.33

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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.