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Finding the Fourth Proportional to 19,672.42, 29,512.95 and 9,278.50

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Solution

The fourth proportional to 19,672.42, 29,512.95 and 9,278.50 is: 13,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.42 : 29,512.95 = 9,278.50 : x
  2. Step 2: Convert to fraction form
    19,672.42/29,512.95 = 9,278.50/x
  3. Step 3: Cross multiply
    19,672.42x = 29,512.95 × 9,278.50
  4. Step 4: Simplify right side
    19,672.42x = 273,835,906.58
  5. Step 5: Solve for x
    x = 273,835,906.58/19,672.42
  6. Step 6: Final answer
    x = 13,919.79

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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.