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Finding the Fourth Proportional to 22,758.48, 34,074 and 17,194.32

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Solution

The fourth proportional to 22,758.48, 34,074 and 17,194.32 is: 25,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.48 : 34,074 = 17,194.32 : x
  2. Step 2: Convert to fraction form
    22,758.48/34,074 = 17,194.32/x
  3. Step 3: Cross multiply
    22,758.48x = 34,074 × 17,194.32
  4. Step 4: Simplify right side
    22,758.48x = 585,879,259.68
  5. Step 5: Solve for x
    x = 585,879,259.68/22,758.48
  6. Step 6: Final answer
    x = 25,743.34

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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.