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Finding the Fourth Proportional to 17,022.50, 23,491.06 and 9,570.50

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Solution

The fourth proportional to 17,022.50, 23,491.06 and 9,570.50 is: 13,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.50 : 23,491.06 = 9,570.50 : x
  2. Step 2: Convert to fraction form
    17,022.50/23,491.06 = 9,570.50/x
  3. Step 3: Cross multiply
    17,022.50x = 23,491.06 × 9,570.50
  4. Step 4: Simplify right side
    17,022.50x = 224,821,189.73
  5. Step 5: Solve for x
    x = 224,821,189.73/17,022.50
  6. Step 6: Final answer
    x = 13,207.30

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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.