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Finding the Fourth Proportional to 17,030.25, 23,501.75 and 9,578.25

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Solution

The fourth proportional to 17,030.25, 23,501.75 and 9,578.25 is: 13,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030.25 : 23,501.75 = 9,578.25 : x
  2. Step 2: Convert to fraction form
    17,030.25/23,501.75 = 9,578.25/x
  3. Step 3: Cross multiply
    17,030.25x = 23,501.75 × 9,578.25
  4. Step 4: Simplify right side
    17,030.25x = 225,105,589.05
  5. Step 5: Solve for x
    x = 225,105,589.05/17,030.25
  6. Step 6: Final answer
    x = 13,217.99

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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.