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Finding the Fourth Proportional to 17,085.57, 23,578.29 and 9,532.56

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Solution

The fourth proportional to 17,085.57, 23,578.29 and 9,532.56 is: 13,155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.57 : 23,578.29 = 9,532.56 : x
  2. Step 2: Convert to fraction form
    17,085.57/23,578.29 = 9,532.56/x
  3. Step 3: Cross multiply
    17,085.57x = 23,578.29 × 9,532.56
  4. Step 4: Simplify right side
    17,085.57x = 224,761,464.12
  5. Step 5: Solve for x
    x = 224,761,464.12/17,085.57
  6. Step 6: Final answer
    x = 13,155.05

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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.