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Finding the Fourth Proportional to 12,273.78, 18,414.36 and 9,503.58

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Solution

The fourth proportional to 12,273.78, 18,414.36 and 9,503.58 is: 14,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.78 : 18,414.36 = 9,503.58 : x
  2. Step 2: Convert to fraction form
    12,273.78/18,414.36 = 9,503.58/x
  3. Step 3: Cross multiply
    12,273.78x = 18,414.36 × 9,503.58
  4. Step 4: Simplify right side
    12,273.78x = 175,002,343.41
  5. Step 5: Solve for x
    x = 175,002,343.41/12,273.78
  6. Step 6: Final answer
    x = 14,258.23

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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.