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Finding the Fourth Proportional to 17,446.58, 24,076.82 and 9,893.24

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Solution

The fourth proportional to 17,446.58, 24,076.82 and 9,893.24 is: 13,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.58 : 24,076.82 = 9,893.24 : x
  2. Step 2: Convert to fraction form
    17,446.58/24,076.82 = 9,893.24/x
  3. Step 3: Cross multiply
    17,446.58x = 24,076.82 × 9,893.24
  4. Step 4: Simplify right side
    17,446.58x = 238,197,758.70
  5. Step 5: Solve for x
    x = 238,197,758.70/17,446.58
  6. Step 6: Final answer
    x = 13,652.98

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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.