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Finding the Fourth Proportional to 17,770.96, 24,526.92 and 10,323.28

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Solution

The fourth proportional to 17,770.96, 24,526.92 and 10,323.28 is: 14,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.96 : 24,526.92 = 10,323.28 : x
  2. Step 2: Convert to fraction form
    17,770.96/24,526.92 = 10,323.28/x
  3. Step 3: Cross multiply
    17,770.96x = 24,526.92 × 10,323.28
  4. Step 4: Simplify right side
    17,770.96x = 253,198,262.70
  5. Step 5: Solve for x
    x = 253,198,262.70/17,770.96
  6. Step 6: Final answer
    x = 14,247.87

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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.