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Finding the Fourth Proportional to 16,507.26, 24,745.74 and 7,141.38

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Solution

The fourth proportional to 16,507.26, 24,745.74 and 7,141.38 is: 10,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.26 : 24,745.74 = 7,141.38 : x
  2. Step 2: Convert to fraction form
    16,507.26/24,745.74 = 7,141.38/x
  3. Step 3: Cross multiply
    16,507.26x = 24,745.74 × 7,141.38
  4. Step 4: Simplify right side
    16,507.26x = 176,718,732.72
  5. Step 5: Solve for x
    x = 176,718,732.72/16,507.26
  6. Step 6: Final answer
    x = 10,705.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.