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Finding the Fourth Proportional to 17,537.92, 24,202.80 and 10,468.44

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Solution

The fourth proportional to 17,537.92, 24,202.80 and 10,468.44 is: 14,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.92 : 24,202.80 = 10,468.44 : x
  2. Step 2: Convert to fraction form
    17,537.92/24,202.80 = 10,468.44/x
  3. Step 3: Cross multiply
    17,537.92x = 24,202.80 × 10,468.44
  4. Step 4: Simplify right side
    17,537.92x = 253,365,559.63
  5. Step 5: Solve for x
    x = 253,365,559.63/17,537.92
  6. Step 6: Final answer
    x = 14,446.73

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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.