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Finding the Fourth Proportional to 30,922.65, 42,675.32 and 17,494.47

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Solution

The fourth proportional to 30,922.65, 42,675.32 and 17,494.47 is: 24,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.65 : 42,675.32 = 17,494.47 : x
  2. Step 2: Convert to fraction form
    30,922.65/42,675.32 = 17,494.47/x
  3. Step 3: Cross multiply
    30,922.65x = 42,675.32 × 17,494.47
  4. Step 4: Simplify right side
    30,922.65x = 746,582,149.22
  5. Step 5: Solve for x
    x = 746,582,149.22/30,922.65
  6. Step 6: Final answer
    x = 24,143.54

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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.