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Finding the Fourth Proportional to 17,858.92, 24,645.54 and 10,306.82

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Solution

The fourth proportional to 17,858.92, 24,645.54 and 10,306.82 is: 14,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.92 : 24,645.54 = 10,306.82 : x
  2. Step 2: Convert to fraction form
    17,858.92/24,645.54 = 10,306.82/x
  3. Step 3: Cross multiply
    17,858.92x = 24,645.54 × 10,306.82
  4. Step 4: Simplify right side
    17,858.92x = 254,017,093.05
  5. Step 5: Solve for x
    x = 254,017,093.05/17,858.92
  6. Step 6: Final answer
    x = 14,223.54

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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.