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Finding the Fourth Proportional to 14,310.16, 19,745.22 and 7,936.50

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Solution

The fourth proportional to 14,310.16, 19,745.22 and 7,936.50 is: 10,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.16 : 19,745.22 = 7,936.50 : x
  2. Step 2: Convert to fraction form
    14,310.16/19,745.22 = 7,936.50/x
  3. Step 3: Cross multiply
    14,310.16x = 19,745.22 × 7,936.50
  4. Step 4: Simplify right side
    14,310.16x = 156,707,938.53
  5. Step 5: Solve for x
    x = 156,707,938.53/14,310.16
  6. Step 6: Final answer
    x = 10,950.82

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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.