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Finding the Fourth Proportional to 14,033.36, 19,366.14 and 7,745.96

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Solution

The fourth proportional to 14,033.36, 19,366.14 and 7,745.96 is: 10,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.36 : 19,366.14 = 7,745.96 : x
  2. Step 2: Convert to fraction form
    14,033.36/19,366.14 = 7,745.96/x
  3. Step 3: Cross multiply
    14,033.36x = 19,366.14 × 7,745.96
  4. Step 4: Simplify right side
    14,033.36x = 150,009,345.79
  5. Step 5: Solve for x
    x = 150,009,345.79/14,033.36
  6. Step 6: Final answer
    x = 10,689.48

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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.