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Finding the Fourth Proportional to 14,034.81, 19,367.33 and 7,745.97

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Solution

The fourth proportional to 14,034.81, 19,367.33 and 7,745.97 is: 10,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.81 : 19,367.33 = 7,745.97 : x
  2. Step 2: Convert to fraction form
    14,034.81/19,367.33 = 7,745.97/x
  3. Step 3: Cross multiply
    14,034.81x = 19,367.33 × 7,745.97
  4. Step 4: Simplify right side
    14,034.81x = 150,018,718.43
  5. Step 5: Solve for x
    x = 150,018,718.43/14,034.81
  6. Step 6: Final answer
    x = 10,689.05

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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.