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Finding the Fourth Proportional to 17,676.96, 24,394.72 and 10,124

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Solution

The fourth proportional to 17,676.96, 24,394.72 and 10,124 is: 13,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.96 : 24,394.72 = 10,124 : x
  2. Step 2: Convert to fraction form
    17,676.96/24,394.72 = 10,124/x
  3. Step 3: Cross multiply
    17,676.96x = 24,394.72 × 10,124
  4. Step 4: Simplify right side
    17,676.96x = 246,972,145.28
  5. Step 5: Solve for x
    x = 246,972,145.28/17,676.96
  6. Step 6: Final answer
    x = 13,971.42

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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.