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Finding the Fourth Proportional to 17,022.84, 25,534.95 and 5,930.64

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Solution

The fourth proportional to 17,022.84, 25,534.95 and 5,930.64 is: 8,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.84 : 25,534.95 = 5,930.64 : x
  2. Step 2: Convert to fraction form
    17,022.84/25,534.95 = 5,930.64/x
  3. Step 3: Cross multiply
    17,022.84x = 25,534.95 × 5,930.64
  4. Step 4: Simplify right side
    17,022.84x = 151,438,595.87
  5. Step 5: Solve for x
    x = 151,438,595.87/17,022.84
  6. Step 6: Final answer
    x = 8,896.20

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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.