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Finding the Fourth Proportional to 14,033.49, 19,366.17 and 7,745.82

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Solution

The fourth proportional to 14,033.49, 19,366.17 and 7,745.82 is: 10,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.49 : 19,366.17 = 7,745.82 : x
  2. Step 2: Convert to fraction form
    14,033.49/19,366.17 = 7,745.82/x
  3. Step 3: Cross multiply
    14,033.49x = 19,366.17 × 7,745.82
  4. Step 4: Simplify right side
    14,033.49x = 150,006,866.91
  5. Step 5: Solve for x
    x = 150,006,866.91/14,033.49
  6. Step 6: Final answer
    x = 10,689.21

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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.