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Finding the Fourth Proportional to 17,850.16, 24,633.87 and 10,775.21

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Solution

The fourth proportional to 17,850.16, 24,633.87 and 10,775.21 is: 14,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.16 : 24,633.87 = 10,775.21 : x
  2. Step 2: Convert to fraction form
    17,850.16/24,633.87 = 10,775.21/x
  3. Step 3: Cross multiply
    17,850.16x = 24,633.87 × 10,775.21
  4. Step 4: Simplify right side
    17,850.16x = 265,435,122.36
  5. Step 5: Solve for x
    x = 265,435,122.36/17,850.16
  6. Step 6: Final answer
    x = 14,870.19

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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.