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Finding the Fourth Proportional to 17,022.34, 25,534.19 and 5,930.16

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Solution

The fourth proportional to 17,022.34, 25,534.19 and 5,930.16 is: 8,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.34 : 25,534.19 = 5,930.16 : x
  2. Step 2: Convert to fraction form
    17,022.34/25,534.19 = 5,930.16/x
  3. Step 3: Cross multiply
    17,022.34x = 25,534.19 × 5,930.16
  4. Step 4: Simplify right side
    17,022.34x = 151,421,832.17
  5. Step 5: Solve for x
    x = 151,421,832.17/17,022.34
  6. Step 6: Final answer
    x = 8,895.48

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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.