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Finding the Fourth Proportional to 17,320.16, 25,969.82 and 6,777.60

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Solution

The fourth proportional to 17,320.16, 25,969.82 and 6,777.60 is: 10,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.16 : 25,969.82 = 6,777.60 : x
  2. Step 2: Convert to fraction form
    17,320.16/25,969.82 = 6,777.60/x
  3. Step 3: Cross multiply
    17,320.16x = 25,969.82 × 6,777.60
  4. Step 4: Simplify right side
    17,320.16x = 176,013,035.09
  5. Step 5: Solve for x
    x = 176,013,035.09/17,320.16
  6. Step 6: Final answer
    x = 10,162.32

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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.