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Finding the Fourth Proportional to 12,465.32, 18,660.54 and 8,084.84

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Solution

The fourth proportional to 12,465.32, 18,660.54 and 8,084.84 is: 12,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.32 : 18,660.54 = 8,084.84 : x
  2. Step 2: Convert to fraction form
    12,465.32/18,660.54 = 8,084.84/x
  3. Step 3: Cross multiply
    12,465.32x = 18,660.54 × 8,084.84
  4. Step 4: Simplify right side
    12,465.32x = 150,867,480.21
  5. Step 5: Solve for x
    x = 150,867,480.21/12,465.32
  6. Step 6: Final answer
    x = 12,102.98

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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.