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Finding the Fourth Proportional to 17,852.96, 24,638.22 and 10,300.70

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Solution

The fourth proportional to 17,852.96, 24,638.22 and 10,300.70 is: 14,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.96 : 24,638.22 = 10,300.70 : x
  2. Step 2: Convert to fraction form
    17,852.96/24,638.22 = 10,300.70/x
  3. Step 3: Cross multiply
    17,852.96x = 24,638.22 × 10,300.70
  4. Step 4: Simplify right side
    17,852.96x = 253,790,912.75
  5. Step 5: Solve for x
    x = 253,790,912.75/17,852.96
  6. Step 6: Final answer
    x = 14,215.62

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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.