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Finding the Fourth Proportional to 19,494.75, 29,255.10 and 7,182.75

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Solution

The fourth proportional to 19,494.75, 29,255.10 and 7,182.75 is: 10,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.75 : 29,255.10 = 7,182.75 : x
  2. Step 2: Convert to fraction form
    19,494.75/29,255.10 = 7,182.75/x
  3. Step 3: Cross multiply
    19,494.75x = 29,255.10 × 7,182.75
  4. Step 4: Simplify right side
    19,494.75x = 210,132,069.53
  5. Step 5: Solve for x
    x = 210,132,069.53/19,494.75
  6. Step 6: Final answer
    x = 10,778.91

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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.