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Finding the Fourth Proportional to 17,020.40, 25,532.16 and 7,157.84

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Solution

The fourth proportional to 17,020.40, 25,532.16 and 7,157.84 is: 10,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,020.40 : 25,532.16 = 7,157.84 : x
  2. Step 2: Convert to fraction form
    17,020.40/25,532.16 = 7,157.84/x
  3. Step 3: Cross multiply
    17,020.40x = 25,532.16 × 7,157.84
  4. Step 4: Simplify right side
    17,020.40x = 182,755,116.13
  5. Step 5: Solve for x
    x = 182,755,116.13/17,020.40
  6. Step 6: Final answer
    x = 10,737.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.