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Finding the Fourth Proportional to 16,202.58, 24,258.60 and 8,288.07

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Solution

The fourth proportional to 16,202.58, 24,258.60 and 8,288.07 is: 12,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.58 : 24,258.60 = 8,288.07 : x
  2. Step 2: Convert to fraction form
    16,202.58/24,258.60 = 8,288.07/x
  3. Step 3: Cross multiply
    16,202.58x = 24,258.60 × 8,288.07
  4. Step 4: Simplify right side
    16,202.58x = 201,056,974.90
  5. Step 5: Solve for x
    x = 201,056,974.90/16,202.58
  6. Step 6: Final answer
    x = 12,408.95

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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.